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NEET PHYSICSEasy

A ball is thrown upwards and it returns to the ground describing a parabolic path. Which of the following remains constant?

A

Kinetic energy of the ball

B

Speed of the ball

C

Horizontal component of velocity

D

Vertical component of velocity

Step-by-Step Solution

  1. Force Analysis: In projectile motion (neglecting air resistance), the only force acting on the body is the force of gravity, which acts vertically downwards. There is no force acting in the horizontal direction .
  2. Acceleration: Since force is zero in the horizontal direction, the horizontal acceleration (axa_x) is zero. In the vertical direction, the acceleration is constant (ay=ga_y = -g) .
  3. Velocity Components:
  • Since ax=0a_x = 0, the horizontal component of velocity (vxv_x) remains constant throughout the motion.
  • Since ay0a_y \neq 0, the vertical component of velocity (vyv_y) changes continuously.
  1. Speed and Kinetic Energy: The speed (v=vx2+vy2v = \sqrt{v_x^2 + v_y^2}) and kinetic energy (K=12mv2K = \frac{1}{2}mv^2) depend on vyv_y, so they change during the flight (decreasing during ascent and increasing during descent).
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