A body is thrown vertically upward with velocity u, the greatest height h to which it will rise is, (a) u/g (b) u2/2g (c) u2/g (d) u/2g

Answer: (b) u2/2g

At the greatest height h, a body thrown vertically upward with velocity u will have a final velocity (v) zero.

Given parameters

  • v = 0
  • a = -g
  • s = H

Substitute the given values in the equation

v2 = u2 + 2as

0 = u2 + 2 × (-g) × H

0 = u2 – 2gH

2gH = u2

H = u2/2g

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