You accidentally throw your car keys horizontally at 8.0 m/s from a cliff. If yours keys land 28 m from the base of the cliff, how high was the cliff? Question 10 options: 17.15 m 60 m 45 m 28 m

Answers

Answer 1

Answer:

[tex]45m[/tex]

Explanation:

Let [tex]V_0[/tex] be the horizontal speed of the keys and D be the horizontal distance covered by the keys.

[tex]V_0= 8.0 \frac ms[/tex]

[tex]D= 28 m[/tex]

The initial velocity in the vertical direction is [tex]0[/tex].

Let [tex]g[/tex] be the acceleration due to gravity, which always acts vertically downwards, so, it will not change the horizontal direction of the speed, i.e. [tex]V_0[/tex] will remain constant throughout the projectile motion.

Let [tex]t[/tex] be the total time of flight in seconds. So,

[tex]D= V_0t[/tex]

[tex]\Rightarrow 28=8t[/tex]

[tex]\Rightarrow t=3 s \; \cdots (i)[/tex]

Let [tex]H[/tex] be the hight of the cliff.

Now, from the equation of motion

[tex]s=ut+\frac 1 2 at^2\;\cdots(ii)[/tex]

Where is the displacement is the direction of force, is the initial velocity in the direction of force,   is the constant acceleration due to force and is the time of flight.

Here, , and  (negative sign is for taking the sigh convention positive in the direction as shown in the figure.)

From equation (ii)

[tex]-H=0\times t + \frac 1 2 (-g)t^2[/tex]

[tex]\Rightarrow H= \frac 1 2 gt^2[/tex]

Take [tex]g= 10 \frac m{s^2}[/tex] and put the value of [tex]t[/tex] from equation (i), we have

[tex]H=\frac 1 2 \times 10\times 3^2[/tex]

[tex]\Rightarrow H= 45 m[/tex].

Hence, the height of the cliff was [tex]45 m[/tex].

You Accidentally Throw Your Car Keys Horizontally At 8.0 M/s From A Cliff. If Yours Keys Land 28 M From

Related Questions

What do all of the elements in group 13 have in common?

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each one of the elements in group 13 has three electrons in the outer shell of their nuclear structure
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Starting from rest, a truck accelerated at a rate of 2 m/s to the right for 25 seconds. How far will the truck travel during this time period

Answers

Answer:

S= ?

V=2m/sec

t=25s

S=V*t

S=2*25

S=50m

A speed racer travels 25.3 m/s in 9.6 s. How far did it travel?

Answers

Given:-

Speed = 25.3 m/s

Time taken = 9.6 s

To be calculated:-

Calculate the distance covered by a body.

Formula applied:-

Speed = Distance/Time

Solution:-

We know,

Speed = Distance/Time

[tex] \bf\implies \: 25.3 = \frac{Distance}{9.6} [/tex]

[tex] \bf \implies \: Distance = 25.3 \times 9.6[/tex]

[tex] \bf\implies \: Distance = 242.88 \: m \: (approx)[/tex]

Which of the following elements are found in Group 1A (sometimes referred
to as Group 1)?
Check all that apply.
A. Potassium
B. Argon
C. Hydrogen
D. Krypton

Answers

Answer:

A. Potassium

C. Hydrogen

Explanation:

2. On a par 4 golf course, you make the ball in:
1. Hole in one
2. Birdie
3. Par
4. Eagle
5. Double bogey
6. Triple bogey
7. Bogey
a. 7 shots from the tee
b. 5 shots from the teel
c. 1 shot from the tee
d. 4 shots from the tee
e. 3 shots from the tee
f. 2 shots from the tee
g. 6 shots from the tee

Answers

1 =c
2=e
3=d
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in general, as the human population increases which of the following is true? OA The amoum of habitat destroyed by people decreases OB. The sound of clean water available for use increases. OC. The amount of waste produced by people decreases D. The amount of resources used by people increases​

Answers

D) the amount of resources used by people increases as the human population increases

How does distance affect gravity???

Answers

Answer:no because distance is weaker than gravity

Explanation:the strenght of the gravita force between the two objects depend on two facto mass and distance the force of gravity the masses  exert on each other increases the force of gravity decreases if the distance is doubled the force of gravity is one fourth as strong as before

Yes it does if the force between 2 bodies is F at the distance r, if we move one of them at the distance 2r, than the force becomes f/4

On what factors does the quantity of heat of an object depend?​

Answers

Explanation:

This quantity is known as the specific heat capacity (or simply, the specific heat), which is the heat capacity per unit mass of a material. Experiments show that the transferred heat depends on three factors: (1) The change in temperature, (2) the mass of the system, and (3) the substance and phase of the substance.


The nucleus of most atoms is composed of which of the following sub-atomic particles?

Answers

Answer:

protons (+ charge) & neutrons (neutral charge)

however protons has a positive charge so it determined what atom it is.

Answer:

tightly packed protons and neutrons

Explanation:

what is the speed of a car that travels a distance of 200m in 2.3 seconds ? ​

Answers

Answer:

460metre per second

Explanation:

Speed = Distance x Time.

Why us an element considered a pure substance

Answers

Explanation:

Hey there!!

An elements is called a pure substance because it is composed of only one kina of atoms in a fix proportion.

Hope it helps...

Answer:

Elements are pure substances because elements are always made up of same kind of particles.

Example:- pure Iron rod (iron is an element)is made up of many similar Iron atoms.

Why do we insulate houses?
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the outside
B. To allow energy to flow from inside to
the outside
C. To keep them cool in the winter and
warm in the summer

Answers

B to allow energy to flow from inside to the outside

in your ans
A jogger runs the first 250 m of a race in 13.5 sec. What is the jogger's
velocity(m/s)?

Answers

Answer:

S=250 m

t=13.5 sec

V=?

Explanation:

V=S/t

V=250/13.5

V=18.51m/s

After you let go of a bowling ball, is there a force pushing it so that it keeps moving
forward? Explain.

Answers

Explanation:

No, the ball keeps moving forward due its momentum.

A net force causes an object to accelerate, which means it speeds up, slows down, or changes direction.  A bowling ball does not speed up after you let go, so there is no forward force.

Two grocery carts have the same initial total momentum. The two carts collide, and now cart B has a greater final velocity.

Which best describes the final total momentum of both the carts compared to the initial total momentum?

It is less if cart B has a smaller mass.
It is greater if cart B has a greater mass.
It is the same if no external forces are added.
It depends on the masses of cart A and cart B.

Answers

Answer: The anser is C

Explanation:

It is the same if no external forces are added.

Based on the principle of conservation of linear momentum, the final total momentum of both carts compared to the initial total momentum is the same if no external forces are added.

The given information;

two carts have equal initial momentum beforeafter collision, cart B has greater final velocity

According to the principle of conservation of linear momentum, the total momentum before collision is equal to the total momentum after collision.

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

where;

m₁ and m₂ are the masses of the two cartsu₁ and u₂ are the initial velocities of the two cartsv₁ and v₂ are the final velocities of the two carts after collision

Thus, based on this principle (conservation of linear momentum), the final total momentum of both carts compared to the initial total momentum is the same if no external forces are added.

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Answers

Answer:

18.15m

Explanation:

Speed * Time = Distance

5.5 * 3.3 = 18.15m

The distance traveled by Robin is equal to 18.15 m with an average speed of 5.5 m/s for 3.3s.

What is the average speed?

The average speed can be explained as the total distance covered by the object in a definite time. The average speed can be considered a scalar quantity as it exhibits magnitude and no direction.

The average speed of a physical system can be determined from the ratio of the total distance traveled by the system to the time taken to cover that distance.

The average speed equation of a physical system can be written as follows:

Average speed =  Total distance/total time taken

Given, the average speed of the Roin, = 5.5 m/s

The time is taken by Robin for jogging = 3.3 s

The average speed of the Robin can be determined as:

Average spped = Distance/ time

5.5 = Distance/3.3

Distance traveled by Robin = 5.5 × 3.3 = 18.15 m

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A baseball player throws a baseball at 42 m/s. If the other player catching the baseball is 18 m from the player, how much time does it take the baseball to reach him?

Answers

Divide the distance by the speed:

(18 m) / (42 m/s) = 3/7 s ≈ 0.43 s

which expression correctly describes energy using SI units

Answers

Answer:

Joule

Explanation:

energy, work, quantity of heat

m2·kg·s-2

What aspect of motion can you conclude is common among freely falling objects ?

Answers

Answer:

Free-fall is defined as the movement where the only force acting on an object is the gravitational force.

By the second Newton's law, we have that:

F = m*a

Where F = Force, m = mass, a = acceleration.

We can write this as:

a = F/m

And the gravitational force can be written as:

F = (G*M/r^2)*m

Where G is the gravitational constant, M is the mass of the Earth in this case, and r is the distance between both objects (the center of the Earth and the free-falling object)

As the radius of the Earth is really big, the term inside the parentheses is almost constant in the region of interest, then we can write:

G*M/r^2 ≈ g

And the gravitational force is:

F = g*m

And by the second Newton's law we had:

a = F/m = (g*m)/m = g

a = g

Then the acceleration does not depend on the mass of the object.

Then the thing that is common among the free-falling objects is the vertical acceleration.

distance travelled by a train is 495 km in 4 hours 30 minutes, what is its speed in m/s? 

Answers

Answer:

9.09m/s

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Speed = Distance/Time

Distance = 495km

Time = 4 hr 30 min = 4 hr 1/2hr = 4.5 hr

Therefore, Speed = 495/4.5 = 110km/h

Now to convert km/h to m/s

110 x 1000/ 110 x 110

110 cancels out each other, we are now left with

1000/110 = 9.09m/s

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Answers

Answer:

Key Fob.

Explanation:

On the 5th of September, 1977, the National Aeronautics and Space Administration (NASA) launched a spacecraft known as "Voyager 1" to study and explore the outer planets of the solar system.

Additionally, two voyager spacecraft were built for the above mentioned study and exploration exercise; Voyager 1 and Voyager 2. Voyager 2 was actually the first spacecraft while Voyager 1 was launched sixteen (16) days after and was faster.

According to Rich Terrile, the technology they had in the 70's was similar to a modern day Key Fob that could fit in our pocket because the processing power of the computer chip found in a Key Fob was comparable to the much larger voyager probe (Voyager 1 and Voyager 2) of the 70's, that was tagged an artificial brain.

This ultimately implies that, the computer chip found in a car Key Fob is more powerful and sophisticated than the Voyager probe, even though the Key Fob is smaller but having the same amount of memory.

Write about natural indicators. ​

Answers

Natural Indicator is a type of indicator that can be found naturally and can determine whether the substance is an acidic substance or a basic substance. Some examples of natural indicators are red cabbage, turmeric, grape juice, turnip skin, curry powder, cherries, beetroots, onion, tomato, and etc.

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A positively charged atom has

Answers

It has a positive charge

Answer:

Lost electrons

Explanation:

For a atom to become positively charged it needs to have more protons than electrons

Which of the following are states of matter?
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€. Mixture
D. Solid
E. Liquid

Answers

Answer:

Solid , liquid and gas

Explanation:

However, mixture and compound are other things.

CAN YOU THE 3 QUESTIONS ILL PUT U AS BRAINLEST!!!!

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Answer: 1. 5 1/6 m/s 2. Traveling Left 3. 0.45

Explanation:

Please mark Brainliest!!!

Which best describes internet wikis as a source of scientific information

Answers

Answer:

They are written or edited by anyone

Explanation:

A plane takes off at an angle of 30 degrees at a speed of 150 km/h. Determine the horizontal
and vertical components of this velocity vector.

Answers

Answer:

Horizontal Component = 129.9 km/h

Vertical Component = 75 km/h

Explanation:

When a vector is resolved on the x-axis and the y-axis, the components so formed are called its rectangular components. The component along y-axis is called the vertical component and the component along x-axis is called horizontal component. These components can be given by following formulae:

Horizontal Component = v Cos θ

Vertical Component = v Sin θ

where,

v = velocity = 150 km/h

θ =  angle = 30°

Therefore,

Horizontal Component = (150 km/h)(Cos 30°)

Horizontal Component = 129.9 km/h

Vertical Component = (150 km/h)(Sin 30°)

Vertical Component = 75 km/h

The gravitational acceleration on Earth is 9.8 m/s2. What is the weight of a car on Earth (to the nearest whole number) if it has a mass of 1360 kg? 14 N 139 N 1333 N 13,328 N

Answers

Weight = (mass) x (gravitational acceleration where the mass is)

Weight = (1360 kg) x (9.8 m/s²)

Weight = 13,328  kg-m/s²

That's 13,328 Newtons

Given:-

Mass (m) of the car = 1360 kgAcceleration due to gravity (g) = 9.8 m/

To Find: Weight (W).

We know,

W = mg

where,

W = Weight,m = Mass &g = Acceleration due to gravity.

Thus,

W = (1360 kg)(9.8 m/s²)

→ W = 13,328 N (D)

1) Describe how the atoms of a solid differ from the atoms of a liquid.

Answers

Answer:

liquid are close together with no regular arrangement. solid are tightly packed, usually in a regular pattern.

The atoms of solids and liquids are different from each other in many ways as discussed below.

We have a solid and a liquid.

We have to describe how the atoms of a solid differ from the atoms of a liquid.

What is Atom?

An Atom smallest unit into which matter can be divided without the release of electrically charged particles.

According to the question, the following differences exists between the atoms of solids and liquids -

In solids the atoms are tightly packed while in liquid they are loosely packed.In solids the density of atoms within a specific volume is very high while in liquid it can be either high or low.In solids, atoms are not free to move and they can only oscillate about their mean position while in liquid the atoms are free to move.

Hence, it can be seen that the atoms of solids and liquids are quite different from each other.

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give reason the si syetem of units is better than the mks system​

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is there a tutor available

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