Question

how the change in velocity with dostance decreases with increasing distance of fall in free fall ?​

Answer 1

Answer:When a body is undergoing free fall it is experiencing a constant acceleration g in one direction.

So the change in velocity in a certain time period (say t) remains constant.

However, the velocity of the body is constantly increasing. Thus the distance moved in any interval t will be more than the distance moved in any previous interval t.

Let change in velocity with distance be dv/dx.

We know that dv/dt is constant.

Also dx/dt is increasing.

dv/dx = (dv/dt)/(dx/dt)

Thus dv/dx is constantly decreasing

Explanation: