A student fires a cannonball vertically upwards. The cannonball returns to the
ground after a 4.60s flight. Determine all unknowns and answer the following
questions. Neglect drag and the initial height and horizontal motion of the
cannonball. Use regular metric units (ie. meters).
How long did the cannonball rise?
unit
What was the cannonball's initial speed?
unit
What was the cannonball's maximum height?
unit
V

Answers

Answer 1

Answer:

(a). The distance is 207 m.

(b). The initial velocity is 45.0 m/s

(c). The maximum height is 103.3 m

Explanation:

Given that,

Time = 4.60 s

We need to calculate the initial velocity

Using equation of motion

[tex]v=u-gt[/tex]

Put the value into the formula

[tex]0=u-9.8\times4.60[/tex]

[tex]u=45.0\ m/s[/tex]

We need to calculate the distance

Using formula of distance

[tex]d=v\times t[/tex]

Put the value into the formula

[tex]d=45\times4.60[/tex]

[tex]d=207\ m[/tex]

We need to calculate the maximum height

Using equation of motion

[tex]v^2=u^2-2gh[/tex]

Put the value into the formula

[tex]0=(45.0)^2-2\times9.8\times h[/tex]

[tex]h=\dfrac{(45.0)^2}{2\times9.8}[/tex]

[tex]h=103.3\ m[/tex]

Hence, (a). The distance is 207 m.

(b). The initial velocity is 45.0 m/s

(c). The maximum height is 103.3 m


Related Questions

What is the difference between phi and theta?

Answers

ANSWER: The coordinates used in spherical coordinates are rho, theta, and phi. Rho is the distance from the origin to the point. Theta is the same as the angle used in polar coordinates. Phi is the angle between the z-axis and the line connecting the origin and the point.

You throw a ball straight up into the air at a velocity of 15 m/s. You want to know how high above your hand the ball will be at exactly 2.5 sec after you released it. You must SHOW ALL WORK to receive credit!!! Of the 5 motion variables - Vi, Vf, a, ΔX, and T, identify which one you are solving for and the magnitudes and directions of all of the others that are known: Which of the motion equations is best to use to determine the height of the ball? How high is the ball above your hand at 2.5 sec after you throw it?

Answers

Answer:

6.875m

Explanation:

Given

Velocity = 15m/s

Time = 2.5secs

Required

Distance above your hand the ball will be at exactly 2.5secs

using the equation of motion:

ΔX = ViT + 1/2aT²

ΔX is the distance

Vi is the velocity of the ball in air

a is the acceleration due to gravity

T is the time taken

Since the ball is thrown straight up, a = -g

ΔX = ViT - 1/2gT²

Substitute

ΔX = 15(2.5) - 1/2(9.8)(2.5)²

ΔX = 37.5-30.625

ΔX = 6.875m

Hence the ball will be 6.875m above your hand at 2.5secs after you throw it.

A jet airliner moving initially at 538 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 937 mph in a direction 23 degrees north of east. What is the new speed of the aircraft with respect to the ground. Answer in units of mph

Answers

Answer:

The speed is "1447.576 mph".

Explanation:

The given values are:

Direction (north to east)

= 23°

Wind's speed

= 937 mph

Jet moving at a speed

= 538 mph

Now,

The velocity of jet airliner with respect to the ground will be:

⇒ [tex]v=v_{1}+v_{2}[/tex]

⇒ [tex]v=\sqrt{(538)^2+(987)^2+2(538)(937)\times Cos23^{\circ}}[/tex]

⇒    [tex]=1447.576 \ mph[/tex]

The town of Seaside needs to build a new power plant. The old coal burning plant produces too much pollution and is no longer safe. The mayor decides that he will do some research on alternative forms of energy like nuclear power plants and solar power plants.

What types of resources should the mayor use to conduct his research? Why would these be considered reliable sources of information and why? What types of resources are reliable? How can he use what he learns to make the best decision for the town?

Answers

The mayor is making a good decision to do research into renewable forms of energy. Not only does coal produce pollution, it also contributes to greenhouse gas emissions. Plus, the supply of coal is a finite source. It is considered a natural resource instead of renewable. That means that eventually the supply of coal will run out at some point. Renewables do not encounter such a problem.

So it's smart to look into alternative forms of energy such as nuclear or solar. The benefit of nuclear is that it produces a lot of energy and does so efficiently. The downside is that it's that accidents would lead to disastrous outcomes (eg: the nuclear disaster in Japan). Also, there's the issue of what to do with the nuclear waste. The waste itself is very dangerous and it must be buried underground sealed in thick containers. This is an expensive operation. The rate of decay of the material takes a long time, which means that future generations hundreds of years down the line will have to deal with the waste.

Solar is a cleaner alternative to nuclear, but unfortunately it is not as efficient compared to nuclear power. You need a lot of solar panels in a vast open area to be able to get the energy to power many homes. Places out in the desert are a good choice to put the solar farms because the sun shines intensely there and not many people (or no people) live out in remote areas such as that one.

Because the town is called Seaside, it seems like this town is on the coast. If so, then the mayor should look into wind power to complement solar power. Wind along the coast is often very intense due to the sea current and jet stream. The downside to wind power is that some days the wind doesn't blow at all. The mayor could also look into tidal power which harnesses the flow of the tides coming in and out. If a major river is nearby (that flows into the ocean) then s/he could consider hydroelectric power as well. There are many renewable options to pick from. Each option has its pros and cons, so it's up to the mayor to weigh what exactly their needs are and how efficiently they want electricity. Mixing various options is possibly the best idea since you get a bit of each pro/con from all the options mentioned.

Why is there no weather on the Moon?

Answers

Answer:

the moon has no atmosphere, and it cannot trap heat or insulate the surface.

Explanation:

the moon is too small. ... With weak gravity, gases that are emitted from the surface quickly are lost to outer space.

how does shape of object affect friction

Answers

Answer:

There are three types of friction.

1. Slanting friction

2. Sliding friction

3. Rolling friction

In the first two types of friction, the body of the object will come in contact with the irregularities on the surface more than in the case of rolling friction, thus a heavy box in square shape will have more friction than a heavy-duty vehicle.

This is also the reason why all vehicles are having wheels as they reduce friction and makes transportation easier and many people suggest to use a small log of wood to be placed on the bottom of a heavy box with flat bottom so it can moved easily due to reduction of friction

If the object is in Circle shape then you the friction a flat bottom then it will have increased friction

How Can the human ear detect the sound

Answers

Answer:

Sound waves enter the outer ear and travel through a narrow passageway called the ear canal, which leads to the eardrum. The eardrum vibrates from the incoming sound waves and sends these vibrations to three tiny bones in the middle ear.

Explanation:

The eardrum vibrates from the incoming sound waves and sends these vibrations to three tiny bones in the middle ear. These bones are called the malleus, incus, and stapes.

On the Moon, astronauts can “bounce” from location to location, but on Earth they cannot move in this way. What physical property changes based on the gravitational force of a planet or moon?

Answers

The physical property that changes is the astronauts “weight” because of the different gravitational force of the moon.

what is measurement ?​

Answers

Answer:

Measurement is the assignment of a number to a characteristic of an object or event

Explanation:

Answer:

Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or event

Which of the above beak depth vs time graphs represent the change in finch beak depth that would occur due to successive years of above average rainfall?

Answers

Answer:

A

Explanation:

I just did it :)

Answer:

It is A

Explanation:

I did it and got a 100

draw a diagram of a seismometer showing how the movement of earth is lated into a siesmogram​

Answers

I’ll explain this to you draw a diagram of seismometer show how the earth moves it’s round and it moves on it axis and spins fully which takes it a year 365 days

idk but it seems hard.

if you go three times around a complete circular lawn of raidius r and reach the starting point, then the displacement is zero. true or false

Answers

Answer:

true

Explanation:

the starting point is zero so if you go back to the starting point it'll be zero since displacement is where you left off.

What will most likely happen if a sound wave moves from the air through a solid? It will increasein wavelength It will decrease in speed It wil increase in speed It will decrease in wavelength.​

Answers

Answer:

C. it will increase in speed

Explanation:

on edge 2020 :)

Answer:

It will increase in speed.

Explanation:

sound waves travel the fastest through solids, slower through liquids, and slowest through gases

Consider a 400g baseball thrown from a height of 1.8m at 35m/s:

a. What is the gravitational potential energy of the baseball?

b. What is the elastic potential energy of the baseball?

c. What is the kinetic energy of the baseball?

d. What is the total mechanical energy of the baseball?

Answers

Answer:hhahe

Explanation:

POSSIBLE POINTS: 5
A student throws a ball upward with a force of 50.0 Newtons. The ball reaches a maximum height of 15.0 meters in 2 seconds and then returns back to
his hands. What is the direction of the acceleration at the top?
There is no acceleration at the top
O The acceleration is directed upwards away from the Earth
O The acceleration is directed downwards towards the Earth
O None of the above

Answers

Answer:

A

Explanation:

Given that a student throws a ball upward with a force of 50.0 Newtons. The ball reaches a maximum height of 15.0 meters in 2 seconds and then returns back to

his hands. 

At maximum height which is the top, the velocity is equal to zero.

According to definition of acceleration, which says; the rate of change of velocity.

Since velocity equal zero, acceleration also will be equal to zero.

Therefore, there is no acceleration at the top.

A chestnut-colored horse mates with a white-colored horse to produce a roan-colored offspring. What type of inheritance pattern does this genetic expression represent? A. Artificial selection B. Codominance C. Incomplete dominance D. Multiple alleles E. Polygenic inheritance

Answers

Answer:

The correct option is B.

Codorminance.

Explanation:

The type of inheritance pattern is codorminance because in codorminance the two alleles in the gene are expressed, no allele was able to masked the express on the other allele. The chestnut colored horse allele is expressed likewise the white

colored allele too is expressed none of the two alleles mask the Expression of the other, the two are expressed to give offsprings roan colored which is an indication of the two expression.

Answer:

Codominance

Explanation:

In the real world could the roller coaster car reach the top of the second hill if the second hill were as high as the firsts hill

Answers

In the real world where some energy is transferred to the environment as heat and sound the rollercoaster will not reach the top of a second hill if identical height.

Answer: No, it couldn’t. Energy leaves the system in the form of heat as the roller coaster cars travel from the top of one hill to the next. The vehicles have less total energy, so the potential energy at the top of the second hill must also be less. The cars wouldn’t be able to achieve the height of the first hill.

Explanation: Make sure to change some of it because it's from Edmentum!!

explain the relationship between physics and biology​

Answers

Answer:

Biology is the study of living organisms. Physics is the study of matter and the laws of nature to understand the behavior of matter and the universe.

The answer above is correct my dude

Pllzzzz help I will mark u as a brainliest

Answers

Answer:

You dont need BRAINLY there is an app called slader where you scan the textbook barcode and it shows you the answers for the question in the textbook.

Explanation:

A car is traveling 30m/s and slams on the breaks, coming to a complete stop in 5 seconds.
Calculate its acceleration (assuming it was constant). Draw a graph of x-t, v-t and a-t.

Answers

Answer:

-6

Explanation:

a=vf-vi/t

vf=0

so that we you subtract vf to vi it will be -30/5=-6

find weight of 45 kg at height 800 km from earth's surface?​

Answers

Answer:

The weight is 348.4 N

Explanation:

Effect of the Altitude on the Acceleration of Gravity

The effect of gravity decreases with altitude because greater altitudes mean greater distances from the Earth's center.

The practical formula to calculate the gravity as a function of the altitude h is:

[tex]{\displaystyle g_{h}=g_{0}\left({\frac {R_{\mathrm {e} }}{R_{\mathrm {e} }+h}}\right)^{2}}[/tex]

Where go is the conventional gravitational acceleration = [tex]9.80665\ m/s^2[/tex]

R is the Earth's mean radius at the equator = 6,378 Km

h is the altitude.

At a height of h=800 Km, the acceleration of gravity is:

[tex]{\displaystyle g_{h}=9.80665 m/s^2\left(\frac {6,378 Km }{6,378 Km+800Km}}\right)^{2}}[/tex]

Calculating:

[tex]g_h=7.74\ m/s^2[/tex]

The weight is the product of the acceleration of gravity by the mass of the object, thus:

[tex]W=45\ Kg\cdot 7.74\ m/s^2=348.4\ N[/tex]

The weight is 348.4 N

Why does an object slow down when going uphill
Please explain properly

Answers

Answer:

The change in speed on slopes is due to gravity. When going downhill, objects will accelerate (go faster), and when going uphill they will decelerate (slow down). On a flat surface, assuming that there is little friction, they will then maintain a constant speed.

Mark me as BRAINLIEST if this answer helped you!

A wagon with a mass of 35 kg is pulled so that it accelerates from 0 m/s to 30 m/s in 15
seconds.
Remember to show all work!
a. What is the acceleration of the wagon?


b. What is the force required to get this acceleration?


Plz help me

Answers

Explanation:

a = v-u/t

a is the acceleration of the body

v is the final velocity

u is the initial velocity

t is the time

Given

v = 30m/s

u = 0m/s

t = 15secs

Substitute

a = 30-0/15

a = 30/15

a = 2m/s²

Hence the acceleration of the wagon is 2m/s²

b) Force = mass * acceleration

Given

Mas of the wagon = 35kg

acceleration a = 2m/s²

F = 35*2

F = 70N

Hence the force required to get this acceleration is 70N

difference between simple machine and complex machine?​

Answers

Answer:

a simple machine has way less parts than a complex machine like just one pulley or lever. A complex machine has multiple different parts that lead up to one thing being done in the long run.

Explanation:

a pulling force carried by a rope is called what

Answers

Answer:

The pulling force that acts along a stretched flexible connector, such as a rope or cable, is called tension, T. When a rope supports the weight of an object that is at rest, the tension in the rope is equal to the weight of the object: T = mg.

Explanation:

Estimate the total mass of ocean on earth

Answers

1/4400 total mass on earth , weighting about 1,450,000,000,000,000,000 short tons of water

HeLp AsAp!!!!!! How long would it take you to hop 30 meters based on your speed for the 5-meter trial? Show your work!

Hopping =

Distance-5 m

Time-3.41

Speed-1.46

Answers

Answer:

20.5s

Explanation:

Given parameters:

Distance = 30m

Unknown:

Time  = ?

Solution:

The time it will take to hop a distance of 30m using the speed for the 5m trial is the duration of the trip.

 The speed for the 5m trial  = 1.46m/s

Now;

    Speed  = [tex]\frac{distance}{time}[/tex]

      Distance = speed x time

      time  = [tex]\frac{distance }{speed}[/tex]

Input the parameters and solve;

     time  = [tex]\frac{30}{1.46}[/tex]   = 20.5s

A driver of a car traveling at -15m/s applies the brakes, causing a uniform acceleration of +2.0m/s2. If the brakes are applied for 2.5s, what is the velocity of the car at the end of the braking period? How far has the car moved during the braking period?

Answers

Given :

Initial velocity, u = -15 m/s.

Acceleration , a = 2 m/s².

Time taken to applied brake, t = 2.5 s.

To Find :

The velocity of the car at the end of the braking period.

How far has the car moved during the braking period.

Solution :

By equation :

[tex]v = u+at\\\\v=-15 + 2\times 2.5\\\\v=-10 \ m/s[/tex]

Now, distance covered by car is :

[tex]s=ut+\dfrac{at^2}{2}\\\\s=(-15)(2.5)+\dfrac{2(2.5)^2}{2}\\\\s=-31.25\ m[/tex]

Hence, this is the required solution.

A train rolls at a constant speed of 10 m/s across a horizontal track. A child standing on the flatbed of the train throws a ball so that it appears to move straight up to an observer standing next to the track. a. What is the horizontal speed of the ball relative to the observer?

Answers

Answer:

The answer is 10m/s

Explanation:

Given that the child is in the train, and that the train is moving at a speed of 10m/s, and also the child is standing on the flatbed, hence the child is not moving, therefore the velocity of the child is 10m/s relative to the observer

Also, when the child throws the ball horizontally relative to the observer the horizontal speed is also 10m/s.

therefore the speed of the ball is also 10m/s to the observer


When an object is said to be in free fall, the object is actually moving..

Answers

... moving initially with the acceleration of gravity (9.8 m/s^2)
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