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NEET PHYSICSEasy

Velocity of a body on reaching the point from which it was projected upwards, is:

A

v=0v=0

B

v=2uv=2u

C

v=0.5uv=0.5u

D

v=uv=-u

Step-by-Step Solution

  1. Initial Conditions: A body is projected vertically upwards with an initial velocity uu. Let the upward direction be positive (++) and the downward direction be negative (-). Thus, initial velocity is +u+u.
  2. Displacement Condition: When the body reaches the point of projection, the net displacement (ss) is zero because the final position coincides with the initial position.
  3. Apply Kinematic Equation: Use the third equation of motion v2=u2+2asv^2 = u^2 + 2as .
  • Substituting s=0s = 0, we get: v2=u2+2a(0)v^2 = u^2 + 2a(0) v2=u2v^2 = u^2 v=±uv = \pm u
  1. Determine Sign: Since the body is moving downwards while returning to the projection point, its velocity must be negative (opposite to the direction of projection). Therefore, the final velocity is v=uv = -u. The magnitude (speed) remains the same, but the direction is reversed .
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