Gravitation

JEE Main level, single correct, medium

122 of 223

Question 122 of 223

For a body projected at an angle with the horizontal from the ground, choose the correct statement

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Answer: (A) Gravitational potential energy is maximum at the highest point.

In a projectile motion, a particle has two components of velocity. The horizontal component of velocity remains constant over time, while the vertical component of velocity changes.
At highest point, the vertical component of velocity (vy)\left({v}_{y}\right) becomes zero, but the horizontal component is non-zero. So the kinetic energy of the particle is not zero.
The formula to calculate the potential energy (U)\left(U\right) of the particle is given by
U=mgh...................(1)U=mgh...................(1)
where, mm is the mass, gg is the acceleration due to gravity and hh is the vertical height attained by the object.
Hence, the potential energy is maximum when the projectile attains the maximum height.

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