An arrow is shot vertically upward and then 1.87 s later passes the top of a tree 39.9 m high. How much longer will the arrow travel upward, how high will it go?

Time :
Height:

Answers

Answer 1
The amount of time it would take the arrow to travel upward is equal to 1.198 seconds.The maximum height is equal to 7.17 meters.

How to determine the time?

In order to determine the amount of time it would take the arrow to travel upward, we would have to first determine its initial velocity by using the second equation of motion.

Note: Since the arrow was projected upward, the acceleration due to gravity would be negative because it indicates deceleration.

From the second equation of motion, we have:

S = ut - ½gt²

39.9 = u(1.87) - ½ × (-10) × 1.87²

39.9 = 1.87u + 17.49

1.87u = 39.9 - 17.49

1.87u = 22.41

u = 22.41/1.87

Initial velocity, u = 11.98 m/s.

Now, we can calculate the amount of time it would take the arrow to travel upward by applying the first equation of motion:

V = u + at

0 = 11.98 + (-10)t

10t = 11.98

t = 11.98/10

Time, t = 1.198 seconds.

How to calculate the maximum height?

In order to calculate the maximum height, we would apply the second equation of motion:

S = ut + ½gt²

S = 11.98(1.198) + ½ × (-10) × 1.198²

S = 14.35 - 7.18

Maximum height, S = 7.17 meters.

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Related Questions

A 80 kg bicyclist is coasting down a long hill that has a 10 ∘ slope. His cross-section area is 0.35 m2, his drag coefficient is 0.85, his bicycle's coefficient of rolling friction is 0.02, and the air temperature is 20∘C.

Answers

An 80 kg bicyclist is coasting down a long hill that has a 10° slope. The speed that a cyclist has eventually attained is mathematically given as

v = 26 meters per second. or v = 26 m/s

This is further explained below.

What is the speed?

Generally, the equation for balancing the equation of Force is  mathematically given as

F1 = F2 + F3

Therefore

F3 = F1 - F2

Where

sinθ = sin(10) = 0.1736

and

cosθ = cos(10) = 0.9848

F1 = m g sinθ

F1=80 x 9.81  x 0.1736

F1= 136.24 N

F2 = μ m g cosθ

F2= 0.02 x 80 kg x 9.81 m/s2 x 0.9848

F2 = 15.46 N

Hence

F3 = F1 - F2

F3= 136.24 N - 15.46 N

F3= 120.78 N

In conclusion, The equation for is  mathematically given as

v = speed reached by a bicyclist

v= ((2 x F3 / (ρ x CD x A)) 0.5

Therefore

v = ((2 x 120.78 N / (1.2041 kg/m3 x 0.85 x 0.35))1/2

v= 25.97 m/s

v = 26 m/s

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Complete Question

An 80 kg bicyclist is coasting down a long hill that has a 10 ∘ slope. His cross-section area is 0.35 m2, his drag coefficient is 0.85, his bicycle's coefficient of rolling friction is 0.02, and the air temperature is 20∘C.

What speed those he eventually reach?

Two large aluminum plates are separated by a distance of 2.0 cm and are held at a potential difference of 150 V. An electron enters the region between them at a speed of 2.6 × 105 m/s by passing through a small hole in the negative plate and continues moving toward the positive plate. Assume the electric field between the plates is uniform.

Answers

The correct answer is V_f = 1.81 × 10^14.

D = 2cm = 0.02 m

ΔV = 150 V

V_i = 2.6 × 10^5 m/s

The coulomb force,

F = qE

ma = qE

a = qE/m

Potential difference

ΔV = ED

E = ΔV/D

a = qΔV/mD

Using equation of motion,

V_f^2 = V_i^2 + 2ad

V_f = √V_i^2 + 2ad

V_f = √V_i^2 + 2d ( qΔV/mD)

here q= 1.6  × 10^-19 C

m = 9.11 × 10^-31 kg

for d= 0.1 cm =  0.001 m

V_f = √(2.6 × 10^5)^2 + 2 (0.001)(1.6  × 10^-19 C × 150V/9.11 × 10^-31 × 0.02)

V_f = √(6.76 × 10^10) + 0.002(24× 10^-18 C)/1.822× 10^-32)

V_f = √(6.76 × 10^10) + 48 × 10^-15/1.822× 10^-32

V_f = √(6.76 × 10^10) + 26.3 × 10^17

V_f = √33.06 × 10^27

V_f = 1.81 × 10^14

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If a liter of gasoline cost $0.58, and a car gets 11 km/L, what would it cost to travel 100km?

Answers

Answer: $638,00

Explanation: Hi Tania... I believe we're in the same class and I was just doing the Science homework when I saw your question... Take this as a gift for doing the Spanish homework last time... Thx! Oh, btw that's the procedure and the response.

X=(1100*0.58)/1= 638,00

no sunlight
mineral-rich
extremely hot
chemosynthetic bacteria

These are all habitat features of __________________ within the oceans on Earth.
Responses
A estuariesestuaries
B benthic zonesbenthic zones
C kelp forestskelp forests
D hydrothermal ventshydrothermal vents

Answers

i believe your answer is D

Answer: Hydrothermal vents is your answer.

Explanation:

it's very hot, there is no light, there are bacteria, and there it's mineral-rich.

1. How much heat input is needed to
raise the temperature of a 20kg
vat made of iron and filled with a 3kg of water from 10°C to 90°C? Take the
Cp of iron and water to be 450J/kg:
land 4186.J/k9°C respectively

Answers

By using Specific heat capacity, 741.76 x [tex]10^4[/tex]heat energy is needed to raise the temperature.

The amount of heat required to increase the temperature of 1 gram of a substance by 1 degree Celsius (°C) is known as the specific heat capacity.

The importance of specific heat capacity may be summed up as the quantity of energy needed to heat or cool an item of a given mass by a certain amount.

Given:

Mass of vat, mvat = 20kg

Mass of water, mwater = 3kg

ΔT = 90 – 10 = 80℃

Specific heat capacity of iron, Ciron = 450J/kg

Specific heat capacity of water, Cwater = 4186J/kg

To find:

Heat energy required, Q = ?

Formula:

C = Q / (m ΔT)

Calculations:

Q = mCΔT

Q = Qempty + Qwater

Q = (20 x 450 x 80) + (3 x 4186 x 80)

Q = 172.464 x [tex]10^4[/tex]J

Result:

Heat energy required is 172.464 x [tex]10^4[/tex]J

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10. A spring whose composition is not completely known might be either bronze (sp gr 8.8) or brass (sp gr 8.4). It has a mass of 1.26 g when measured in air and 1.11 g in water. Which is it made of? ​

Answers

The element used is of bronze.

Now before we find out how we got the answer as bronze, firstly let us understand about the device we are talking about. That is, spring.

What exactly is a spring?

A spring is defined as a device that changes its shape in response to an external force, returning to its original shape when the force is removed. If we apply force or pressure in this device, it will change its shape but the moment we stop applying force, it will come back to its original state.

This means that this device is made of something flexible. So, the material it is made up of should also be flexible in nature.

How to find out flexibility of spring?

Flexibility of spring can be found as q = f Q, where f is the spring flexibility.

Here, in this question, we are given the mass of element in air and water. This shows a slight comparison between the mass of that particular element in air and water and thus, we get to know it is trying to draw our attention towards density.

Here, we have mass in air and water, thus, we can determine the density.

From these numbers, we can know that the density given is of bronze.

Hence, the element used is Bronze.

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A body, initially at rest, explodes into two masses M, and M₂ that
move apart with speeds v, and v₂ respectively. What is the ratio ?
V₂
A.
C.
M₁
M₂
(M₁2
1|2
B.
D.
M₂
M₁
M.
(M₂₁

Answers

Using conservation of momentum we will get that the ratio of velocity of mass M₁ and mass M₂ is ratio of M₂ to M₁

i.e. v₁/v₂=M₂/M₁

What is conservation of momentum ?

conservation of momentum states that in an isolated system the initial momentum will always be equal to final momentum.

given:

initial velocity of the object= 0m/s

initial momentum of the object = 0kg.m/s

now the mass M breaks into 2 pieces such that:

M₁ is the mass of first piece

M₂ is the mass of first piece

velocity of M₁ is v₁

velocity of M₂ is -v₂ as to conserve momentum

using conservation of momentum we get,

initial momentum = final momentum

0 = M₁×v₁ + M₂×(-v₂)

M₁×v₁= M₂×v₂

v₁/v₂ = M₂/M₁

using conservation of momentum we will get that the ratio of velocity of mass M₁ and mass M₂ is ratio of M₂ to M₁

i.e. v₁/v₂=M₂/M₁

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Which sport car motion does Not get any kind of "acceleration?" When a car
A- turns a corner
B- brakes to a stop
C- starts from a traffic stop
D- moves with constant velocity

Answers

Answer:

D- moves with constant velocity

Explanation:

As we know that acceleration is tge rate of change in velocity.

Since velocity is constant, the change in velocity is zero (∆v=0)

[tex]{ \tt{acceleration = \frac{ \triangle v}{t} }} \\ \\ { \tt{acceleration = \frac{0}{t} }} \\ \\ { \tt{acceleration = 0}}[/tex]

A swimmer jumps from a waterfall at a velocity of 1.90 m/s to the lake below. How high is the waterfall if the swimmer lands 2.5 m away from the base of the waterfall?
At what velocity does the swimmer enter the water?

Answers

1. The waterfall is 8.54 m high

2. The velocity with which the swimmer enters the water is 14.836 m/s

How to determine the time to reach the waterInitial velocity (u) = 1.9 m/sHorizontal distance (s) = 2.5 mTime (t) = ?

s = ut

2.5 = 1.9 × t

Divide both sides by 1.9

t = 2.5 / 1.9

t = 1.32 s

1. How to determine the height of the waterfallTime (t) = 1.32 sAcceleration due to gravity (g) = 9.8 m/s²Height (t) =?

h = ½gt²

h = ½ × 9.8 × 1.32²

h = 8.54 m

2. How to determine the velocity

The velocity with which the swimmer enters the water can be obtained as follow:

Initial velocity (u) = 1.9 m/sAcceleration due to gravity (g) = 9.8 m/s²Time (t) = 1.32 sFinal velocity (v) = ?

v = u + gt

v = 1.9 + (9.8 × 1.32)

v = 1.9 + 12.936

v = 14.836 m/s

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A cyclist slows from 15 m/s to 3.0 m/s over a distance of 36 m. How long does this take?

Answers

It takes the cyclist 4 seconds to slow down.

Considering the acceleration is constant, we know that,

v² - u² = 2 a s

a = Δv / t

Δv  = v - u

where,

v = Final velocity

u = Initial velocity

s = Displacement

Δv = Rate of change of velocity

Given that,

u = 15 m /s

v = 3 m / s

s = 36 m

3² - 15² = 2 * a * 36

-216 / 72 = a

a = - 3 m / s²

a = ( v - u ) / t

- 3 = ( 3 - 15 ) / t

t = 4 sec

Rate of change of velocity is the velocity difference between initial and final velocity. It is denoted as Δv.

Therefore, it takes the cyclist 4 seconds to slow down.

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What is Motion Under Gravity.​

Answers

It refers to the movement of an object whose vertical motion is affected by the presence of gravity.

Now think creatively about who you might have been had you been raised by other parents. Prepare three brief descriptions of how you might have developed using any three to four styles of parenting .

Answers

by using all the four type of parenting here is the descriptive answer which include 4 types of parenting by parents.

When a child queries the justification for a regulation, authoritarian parents are infamous for responding, "Because I said so," They are more concerned with obeying than they are with negotiating. Parental authority figures may substitute punishment for instruction. So instead of instructing a child on how to make better decisions

Parents who are authoritative put time and effort into avoiding behavioral issues before they arise. Additionally, they employ positive discipline techniques like reward and praise systems to reinforce good conduct.

Parents that are liberal with their children typically act more like friends than parents. They frequently encourage their kids to talk to them about their issues, but they typically don't make an attempt to discourage poor decisions or misbehavior because they are either uninvolved parents who don't understand how kids develop, or they are unaware of it.

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Which element has similar properties to neon

Answers

Answer:

d) Krypton

Explanation:

Krypton has similar properties to that of neon, as they are noble gases (in same group). Hence, option (d) is the answer.

and gravity is exerted on an object. DISTANCE VOLUME GRAVITY MASS both impact how much​

Answers

Answer:

Explanation:

yes, it will.40

A bus travels from Houston, Texas to Dallas, Texas, in 4.7 h with an average velocity of 76 km/h to the north. What is the bus’s displacement?

Answers

The bus's displacement from Houston to Texas with average velocity = -16.170 km/h

Evaluation :

average velocity = ( initial velocity -- final velocity )

                                    ( v-u )

displacement = [tex]\frac{v-u}{t}[/tex]

displacement =  [tex]\frac{0 - 76 }{4.7}[/tex]

                            = - 16.170 km/h

Average velocity :

Average velocity is determined  as the change in position or displacement (∆x) divided by the time period  (∆t) in which the displacement results . The average velocity could be positive or negative based upon the sign of the displacement. The SI unit of average velocity is defined as  meters per second (m/s or ms-1).

Displacement :

The displacement is commonly the difference in the position of the two marks and is independent of the path covered  when traveling between the two of the  marks. The distance covered , however, is the total length of the path chosen  between the two marks. Displacement defined  as a vector quantity that mean  to "how far out of  the place an object is"; it's the object  overall changes  in  the position.

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Mention the class of lever from above figure. Calculate the magnitude of effort from the given diagram.​

Answers

Answer:

F = 450N

Explanation:

clockwise stock = anticlockwise stock

F(2m) = 600N(1.5m)

2mF/2m = 900Nm/2m

F = 450N

Therefore the magnitude of the effort from the given diagram is 450N.

O 10
Question 12
Which Noble Gas has the lowest average atomic mass?
ONe
Xe
Ar
He

Answers

The mass of an atom is its atomic mass. Although the kilogram is the standard international measurement of mass, the unified atomic mass unit, or dalton, is frequently used to express atomic mass. One Da is equal to one-twelfth of a free carbon-12 atom's mass when it is at rest in the ground state.

Which Noble Gas has the lowest average atomic mass?

Ne; Xe; Ar; He

"He - 4.0026Da"

It is written as a multiple of 1.992646547 1023 gram, or one-twelfth of the mass of the carbon-12 atom, which is given an atomic mass of 12 units. In this scale, 1.660539040 1024 gram is equal to 1 atomic mass unit (amu). In honor of English chemist John Dalton, the atomic mass unit is often known as the dalton (Da).

The total mass of the protons, neutrons, and electrons that make up an atom is a little bit less than the observable atomic mass. According to an equation where the energy (E) released equals the product of the mass (m) consumed and the square of the velocity of light in vacuum (c), the difference, known as the mass defect, is accounted for during the combination of these particles by conversion into binding energy; thus, E = mc2.

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A generator:
operates only when a circuit is open.
is responsible for the coil that turns inside of an electric motor.
uses electromagnetic induction.
All of the choices are correct

Answers

A generator uses electromagnetic induction.

Olivia is performing an experiment with a series circuit that contains a battery and two bulbs. In the middle of the experiment both bulbs stop burning at the
same time. She finds that the battery no longer has a charge. What is the best explanation of the energy in the circuit?

A: The energy in the battery was transformed into electrical energy, light energy, and heat energy.

B: The electrical energy in the circuit was used up.

C: The electrical energy was transformed by an insulator.

D: The energy in the battery was not conserved

Answers

The best explanation of the energy in the circuit is, the energy in the battery was transformed into electrical energy, light energy, and heat energy.

option A is the correct answer

What is law of conservation of energy?

The law of conservation of energy states that the total energy of an isolated system remains constant, that is the total energy of the isolated system is said to be conserved over time.

According to the law of conservation of energy, energy can neither be created nor destroyed but can be converted from one form to another.

 

For instance, electrical energy can be converted into heat and light energy, mechanical energy can be converted into electrical energy, and vice versa, chemical energy can be converted into light and heat energy.

Thus, when she finds that the battery no longer has a charge, the best explanation of the energy in the circuit would be the energy in the battery was transformed into electrical energy, light energy, and heat energy.

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Answer:

Explanation:

It's A I got this question wrong twice and I got it correct when I clicked A. Hope this helps!

You jog at 9.5 km/h for 8.00 km; then you jump into a car and ride an additional 16.0 km. What average speed must the car have for the average speed for the entire 24.0-km trip to be 20 km/h

Answers

Average speed must the car have for the average speed for the entire 24.0 km trip 67.039 km/hr.

Equation :

Average speed for entire journey (jogging + drive) = 20 km/hr

total distance traveled = 24 km

total time spent (on jog + drive) = total distance/average speed

total time spent (on jog + drive) = 24/20

total time spent (on jog + drive) = 1.2 hr

Jogging:

Speed = 9.5 km/hr

Distance = 8.0 km

Time spent jogging = Distance/Speed

= 8.0 / 9.5 = 0.842 hr

Driving car :

Speed = ?

Distance = 24 km

time spent driving = total time spent on journey - time spent jogging

time spent driving = 1.2 - 0.842 = 0.358 hr

average speed for driving = distance / time

average speed for driving = 24/0.358

average speed for driving = 67.039 km/hr

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At this rate, how long does it take to accelerate from 70 km/h to 110 km/h ?

Answers

Answer:

[tex]{ \tt{acceleration = \frac{ \triangle \: v}{t} }} \\ \\ { \tt{a = \frac{110 - 70}{t} }} \\ \\ { \tt{t = \frac{40}{a} } \: s}[/tex]

For a body under free fall; a = g = 9.8

[tex]{ \tt{t = \frac{40}{9.8} }} \\ \\{ \tt{t = 4.08 \: s}}[/tex]

Kofi sees his physics professor approaching on the sidewalk that runs by the second-floor dorm room. He gets a water balloon, and when the professor is 2.0 seconds from being directly underneath Kofi, 11m above the sidewalk, Kofi drops the balloon. Does the balloon hit the professor? Demonstrate why or why not?

Answers

The balloon hits the ground right before the professor gets there.

The balloon picks up speed due to gravity and we can calculate the time taken for it to fall to the ground as follows:

Gravity (g) = 9.81 m/s²

Height or distance (s) = 11 meters

Initial Speed (u) = 0 m/s

using equation of motion

[tex]s = ut + \frac{1}{2}at^{2}[/tex]

where s = height

u = initial speed

a = acceleration due to gravity

t = time taken

then using above values we get

11 = 0 x 2 + 0.5 x (9.8 x t²)

t = 1.4975

So we can see that the balloon takes 1.4975 seconds to fall to the ground, and since the professor takes 2 seconds to get to that place.

The balloon hits the ground right before the professor gets there.

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During which type of change should you expect to see different chemical
symbols before and after the change?
A. Chemical
B. Phase
C. Nuclear
D. Physical

Answers

During the nuclear change we can expect to see different chemical symbols before and after the change

Chemical and nuclear reactions are quite different from one another. Atoms can share electrons with other atoms or participate in an electron transfer to increase their stability in chemical reactions. In nuclear reactions, the atom's nucleus stabilizes itself by going through some sort of alteration. Compared to the energies involved in chemical reactions, the energies produced in nuclear reactions are many orders of magnitude higher. Environmental factors like temperature or pressure do not significantly affect nuclear reactions like they do with chemical ones.

Nuclear reactions involve a change in an atom's nucleus, usually producing a different element. Chemical reactions, on the other hand, involve only a rearrangement of electrons and do not involve changes in the nuclei

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Highway safety engineers build soft barriers so that cars hitting them will slow down at a safe rate. A person wearing a safety belt can withstand an acceleration of 300 m/s/s. How thick should barriers be to safely stop a car that hits the barriers at 76.86 km/h?

Answers

The thickness of the barrier that will stop a car travelling at 76.86 km/h is 0.76 m.

Thickness of the barriers

The thickness of the barriers can be calculated using a kinematic equation as shown below;

v² = u² + 2ad

where;

d is the thickness of the barrierv is the final velocityu is the initial velocity a is the acceleration of the carv is the final velocity

The given final velocity of the car;

v = 76.86 km/h = 21.35 m/s

Thickness of the barrier that will stop a car travelling at 76.86 km/h is calculated as follows;

d = v²/2a

d = (21.35²) / (2 x 300)

d = 0.76 m

Thus, the thickness of the barrier that will stop a car travelling at 76.86 km/h is 0.76 m.

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How to find the angle in a projectile motion when displacement and heigh are the same​

Answers

projectile's vertical speed v yv y v, start , y,  drops prior to reaching its maximum height since its acceleration is in the opposite direction. Since the object's height is rising, the initial direction of the velocity is upward

.

At the projectile's highest point, vertical velocity zeroes out. After reaching the highest point, the vertical speed increases due of the same-direction acceleration. As the object's height lowers, the vertical velocity has a downward direction.

In projectile The beginning vertical velocity determines the maximum height. Increasing the launch angle raises the maximum height because steeper launch angles have a larger vertical velocity component.

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100 POINTS I NEED HELP PLOTTING
Length of String (m) Period (s) Trial 1.
030 1.04
0.50 1.29
0.70 1.56

Period (s) Trial 2. Period (s) Trial 3
1.05 1.06
1.29 1.30
1.56 1.57

Average Period (s) Square of Average Period (s2)
1.05 1.10
1.29 1.66
1.56 2.43
Mass of bob (g) 100
Procedure
Use the 30 cm, 50 cm, and 70 cm pendulum simulations to collect the data for Part 2. Use the same mass for each pendulum. Start with the 30 cm pendulum simulation.
Take a pendulum from the toolbar and position it so that the circle at the top of the pendulum is inside of the dotted circle in the simulation.
Reset the timer.
Pull the pendulum back a small angle and release it. Record the time for the period in the data table.
Reset the timer and repeat for two more trials.
Move to the 50 cm pendulum simulation and repeat steps 2-5. Then, move to the 70 cm pendulum simulation and repeat steps 2-5.
Plot a graph of the average period (s) vs. length (m). Draw the best fit line.
Square the average period values and add those values to your data table.
Plot a graph of the square of the average period (s2) vs. length (m). Draw the best straight line that you can fit through the data points.

Answers

The graph representing average speed ( s ) vs length ( m ) and square of average speed ( s² ) vs length ( m ) is shown in the image attached below.

The value of time period of three trials each for all three length are given. The average value of all the given time periods are found by using  

s = ( s1 + s2 + s3 ) / 3

Then the average time period is squared. In graph 1, the the length of pendulum ( y-axis ) is plotted against average time period ( x-axis ). In graph 2, the the length of pendulum ( y-axis ) is plotted against square of average time period ( x-axis ).

Therefore, the graph representing average speed ( s ) vs length ( m ) and square of average speed ( s² ) vs length ( m ) is shown in the image attached.

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A teacher sitting in her rolling chair pushes against the wall and moves in the opposite direction what law is this

Answers

The statement that a teacher sitting in her rolling chair pushes against the wall and moves in the opposite direction exemplifies the third law of motion by Newton.

What is Newton's third law of motion?

Newton's third law of motion states that for every action, there is an equal and opposite reaction.

This law describes the nature of a force as the result of a mutual and simultaneous interaction between an object 1 and a second object 2.

According to Newton's third law of motion, whenever two objects A and B interact with each other, they both exert equal but opposite forces upon each other.

Therefore, the statement that a teacher sitting in her rolling chair pushes against the wall and moves in the opposite direction exemplifies the third law of motion by Newton.

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What's Cognitive Psychology focuses on studying?

Answers

Cognitive psychologists sometimes called brain scientists, study how the human brain works and how we think, remember and learn

Question 10 of 10 Why are experiments often performed in laboratories? A. You can eliminate variables like air resistance. B. Scientists only want to know what happens in labs. C. It is harder to control variables in a laboratory. D. They are better at representing the real world. Need answer asap.​

Answers

A. You can eliminate variables like air resistance

If the Moon were two times farther away from the Earth than it is today, and four times more massive than it is today, which of the following statements would be true?

a.The Moon's orbital period would be different, but its gravitational force on the Earth would remain the same.

b.The Moon's gravitational force on the Earth would be different, but its orbital period would remain the same.

c.Both the Moon's orbital period and its gravitational force on the Earth would remain the same.

d.Both the Moon's orbital period and its gravitational force on the Earth would be different.

Answers

Both the Moon's orbital period and its gravitational force on the Earth would be different.

What is the gravitational force?

Any two objects with mass are drawn together by the gravitational force. We refer to the gravitational force as attractive because it consistently seeks to draw masses together rather than pushing them apart. In fact, everything in the universe is pulling on everything else, including you.

The rise and fall of ocean tides is a result of the moon's gravitational effect. Their gravitational attraction to self-destructive behavior has been the focus of extensive research. of or pertaining to a strong movement or natural tendency toward something or someone.

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