Question

A ball of mass $m$ is thrown vertically up with an initial velocity so as to reach a height $h$. The correct statement is:

• A. potential energy of the ball at the ground is $mgh$.
• B. kinetic energy imparted to the ball at the ground is zero.
• C. kinetic energy of the ball at the highest point is $mgh$.
• D. potential energy of the ball at the highest point is $mgh$.

Answer 1

The correct option is D potential energy of the ball at the highest point is $mgh$.

As it is at maximum height it will have only potential energy no kinetic energy because of zero velocity. Hence $P.E=mgh$
But when it is on the ground it has no height from the ground hence P.E is zero where K.E has a value of $mgh$ because energy is conserved at every point.
Hence, option D is the correct answer.