A stone is dropped from the top of a cliff

  • Thread starter thschica
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In summary, the speed of the stone when it hits the ground can be calculated using the equation v = square root of (2gh), while the time it takes for the stone to reach the ground is calculated using the equation t = square root of (2h/g). According to the law of gravity, the mass of an object does not affect its fall, and according to the law of conservation of energy, the stone will hit the ground with the same speed it was dropped. Factors such as air resistance, height of the cliff, and acceleration due to gravity can affect the speed of the stone's fall.
  • #1
thschica
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A stone is dropped from the top of a cliff. It is seen to hit the ground below after 3.30 s. How high is the cliff?
 
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  • #2
Use the equations of motion:
[tex]h = v_0 t + \frac{1}{2}gt^2[/tex]
Where [tex]v_0[/tex] is the initial velocity (=0) and g is the acceleration due to gravity.
 
  • #3
Oy! Some people never learn!

The identical question was moved to the HOMEWORK section where it belongs. Please continue there. This thread is closed.

https://www.physicsforums.com/showthread.php?t=86574

Zz.
 

1. What is the speed of the stone when it hits the ground?

The speed of the stone when it hits the ground can be calculated using the equation v = square root of (2gh), where v is the speed, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the cliff.

2. How long will it take for the stone to reach the ground?

The time it takes for the stone to reach the ground can be calculated using the equation t = square root of (2h/g), where t is the time and h is the height of the cliff.

3. Does the mass of the stone affect its fall?

According to the law of gravity, the mass of an object does not affect its rate of fall. Therefore, the mass of the stone will not affect its fall from the top of the cliff.

4. Will the stone hit the ground with the same speed it was dropped?

According to the law of conservation of energy, the total energy of a system remains constant. Therefore, the stone will hit the ground with the same speed it was dropped, as there are no external forces acting on it to change its speed.

5. What factors can affect the speed of the stone's fall?

The speed of the stone's fall can be affected by air resistance, which can slow down the stone's descent. The height of the cliff and the acceleration due to gravity can also affect the speed of the stone's fall.

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