Let's discuss a beautiful problem useful for Physics Olympiad based on Motion under Constant Gravity.
The Problem: Motion under Constant Gravity
A person throws vertically up n balls per second with the same velocity. He throws a ball whenever the previous one is at its highest point. The height to which the balls rise is
We know v=u-gt. v is zero at the highest point. Time t taken by one ball to reach maximum height is 1/n.
Hence, we have
or, u=g/n……. (i)
now, from the relation v2=u2-2gh. Again, v=0
Putting the value of u from equation (i) in above relation (ii), we get