JEE Physics 2023 Question with Solution

Given: A body is projected at an angle with the horizontal from the ground.

Find: The correct statement about the projectile at its highest point.

At the highest point of projectile motion, the vertical component of velocity becomes

while the horizontal component remains constant:

So the horizontal velocity is not zero.

The gravitational potential energy is

and since the height is maximum at the highest point, gravitational potential energy is maximum there.

The vertical component of momentum is

so it is not maximum.

The kinetic energy is

At the highest point, although

we still have

Therefore, the speed is not zero, so kinetic energy is not zero.

The solution concludes with option D, but its own working states that gravitational potential energy is maximum at the highest point and that kinetic energy is not zero. Hence the working supports option A.

Therefore, the correct option is A.

Given: Statements about velocity, momentum, potential energy, and kinetic energy at the highest point of a projectile.

Find: Which statement matches projectile motion facts.

From the extracted working:

1. $v_y = 0$ at the highest point.
2. $v_x = u\cos\theta$ remains constant.
3. $U_g = mgh$ is maximum when height is maximum.
4. Kinetic energy is minimum, but not zero.

These observations eliminate:

• Option B, because horizontal velocity does not become zero.
• Option C, because vertical momentum is zero, not maximum.
• Option D, because kinetic energy is not zero.

Thus only option A is consistent with the derivation shown in the solution, even though the page labels the option as D.

Therefore, the correct option is A.