A rock is thrown horizontally off a cliff with an initial velocity of 15 m/s. How high was the cliff if the rock lands 22 m from the base of the cliff?

Answers

Answer 1

Answer:

22 m

Explanation:

Answer 2

Answer:

cliff height = 10.55 m

Explanation:

Remarks

This is one of those questions that defies belief. The final vertical velocity is the same as if you just dropped the rock, which is amazing.Another amazing fact is that the horizontal speed has no acceleration. And  amazing fact number three is the the vertical initial speed is 0.And finally, the time taken to go horizontally = time to go vertically.

Solution

Time

So the time taken is d = r * t  

Remember, this formula can only be used when there is no acceleration.

d = 22 meters

r = 15 m/s

t = ?

t = d / r

t = 22 / 15

t = 1.467

Height of the Cliff

vi = 0 (vertially)

a = 9.8 m/s^2

t = 1.467 seconds    The time horizontally and vertically is the same.

d = ?

Formula

d = vi*t + 1/2 a t^2

Solution

d = 0 + 1/2 * 9.8 * 1.467^2

d = 10.55 meters.


Related Questions

How many electrons per second flow through a wire with a 12pA current?

Answers

Hence total 1.25x10^19 electrons are flowing through a wire if 2A current is flowing for 1 sec.

A 15 n net force is used to move a 5kg box. What is the resulting acceleration?


A. 15m/s^2

B. 5m/s^2

C. 20m/s^2

D. 3m/s^2

Answers

Answer:3 m/s

Explanation:

The resulting acceleration to move the 5Kg box is equal to 3m/s². Therefore, option (D) s correct.

What is acceleration?

Acceleration can be defined as the rate of change in the velocity of an object with respect to time. The acceleration of an object is a vector parameter with both magnitude and direction. Acceleration is also defined as the first derivative of the velocity w.r.t. time and the second derivative of position w.r.t. time and

According to Newton's 2nd law of motion, the force is equal to the product of the mass (m) and acceleration.

F = ma

And,   a = F/m

Therefore, the acceleration (a) inversely proportional to the mass (m).

Given, the force used to move the box, F = 15 N

The mass of the given Box, m = 5 Kg

The resulting acceleration, a  = 15/5 = 3 m/s²

Therefore, the acceleration of the box is equal to  3 m/s² when it is pushed with a force of 15 N.

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which of the following correctly describes the hierarchy of genetic material within a cell

Answers

Answer: D- Each chromosome in a cell is made up of two chromatids, which are each made up of molecules of DNA

Explanation:

A macromolecule is a large molecule that is made of many smaller units. Chromosomes are macromolecules that contain all of the genetic information in a cell. Chromosomes are each made of two smaller units called chromatids. Chromatids are each made up of molecules of DNA. Therefore, the correct description of the hierarchy of genetic material in a cell is that each chromosome in a cell is made up of two chromatids, which are each made up of molecules of DNA. The structures become more and more microscopic as one moves down the hierarchy.

A 0.225 kg sample of tin initially at 97.5°c is dropped into 0.115 kg of water. the initial temperature of the water is 10.0°c. if the specific heat capacity of tin is 230 j/kg • °c, what is the final equilibrium temperature of the tin-water mixture

Answers

Answer:

The final equilibrium temperature of the tin-water mixture is approximately 18.468 °C

Explanation:

The parameters of heat energy transfer from the tin to the water are given as follows;

The mass of the sample of tin, m₁ = 0.225 kg

The initial temperature of the tin, T₁ = 97.5 °C

The mass of the water into which the tin is dropped, m₂ = 0.115 kg

The initial temperature of the water, T₂ = 10.0 °C

The specific heat capacity of tin, c₁ = 230 J/(kg·°C)

The specific heat capacity of water, c₂ = 4,200 J/(kg·°C)

Let 'T' represent the final equilibrium temperature of the tin-water mixture, we have;

The heat lost by the tin, ΔQ[tex]_{tin}[/tex] = The heat gained by the water ΔQ[tex]_{water}[/tex]

∴  ΔQ[tex]_{tin}[/tex] = ΔQ[tex]_{water}[/tex]

Where;

ΔQ[tex]_{tin}[/tex] = m₁·c₁·(T₁ - T)

ΔQ[tex]_{water}[/tex] = m₂·c₂·(T - T₂)

By substitution, we have;

ΔQ[tex]_{tin}[/tex] = 0.225 kg × 230 J/(kg·°C) × (97.5°C - T)

ΔQ[tex]_{water}[/tex] = 0.115 kg × 4,200 J/(kg·°C) × (T - 10.0°C)

From ΔQ[tex]_{tin}[/tex] = ΔQ[tex]_{water}[/tex], we have;

0.225 kg × 230 J/(kg·°C) × (97.5°C - T) = 0.115 kg × 4,200 J/(kg·°C) × (T - 10.0°C)

∴ 5,045.625 J - 51.75 J/°C × T = 483 J/°C × T - 4,830 J

5,045.625 J + 4,830 J = 534.75 J/°C × T

∴ 534.75 J/°C × T = 9,875.625 J

T =  9,875.625 J/(534.75 J/°C) = 18.4677419 °C ≈ 18.468 °C

The final equilibrium temperature of the tin-water mixture, T ≈ 18.468 °C.

the breakdown of rocks by chemical action of air and water is called

Answers

Answer:

Chemical weathering

Explanation:

This changes the molecular structure of rocks and soil. For instance, carbon dioxide from the air or soil sometimes combines with water in a process called carbonation. This produces a weak acid, called carbonic acid, that can dissolve rock.

how do you increase the ideal mechanical advantage of an inclined plane?

Answers

Answer:

The mechanical advantage increases as the slope of the incline decreases. But the load will then have to be moved a greater distance. The ideal mechanical advantage (IMA) of an inclined plane is the length of the incline divided by the vertical rise, the so-called run-to-rise ratio.

Explanation:

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The illustration shows the forces in Newtons (N) acting on three different blocks. Which
boxes will move under these conditions?

Answers

Answer:a

Explanation:because I know

Answer:

B & C

Explanation:

the first block will not move

Rain and wind place which type of load on structures?
A) Dynamic load
B) Soft load
C) Gradual load
D) Static load

Answers

It’s a dynamic load.
Hopes this helps :)
answer:a is the answer

PLEASE HELPPPPP!!!!!!!!!

Answers

The answer is 35
The unit is ohms

How many degrees are there between the direction of motion and the force of friction?
A. O
B. 270
C. 90
D. 180

Answers

The answer is b!!!!!

The correct option is (d).

Angle should be 180° between the direction of force and the direction of motion of a body as work done is equal to force multiplied by displacement multiplied by cosx.

Friction is a force that opposes motion. When two objects are in contact, friction is acts in a direction opposite to the motion of the object.A force known as friction prevents relative motion between surfaces that are in touch. One of the more basic features of friction is that it always runs parallel to the surfaces with which it makes contact and opposes any motion or attempted motion of the systems with respect to one another.

What is the direction of friction force?When a force is applied to stop it from moving, frictional force provides resistance. As a result, it always moves in the opposite direction of an item in motion. Friction acts on the right when force is applied to the left.

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Aunt Mary needs to hang a picture in her bedroom. She uses a hammer to drive the nail into the wall. Find the force exerted by the hammer on the nail if the hammer stays in contact with the nail for 0.5s and has an impulse of 25Ns

Answers

Answer:

50N

Explanation:

Impulse = Force × Time

25 = Force × 0.5

Force = 25/0.5

= 50N

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