The maximum vertical height to which a man can throw a ball is 136   m . The maximum horizontal…

The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is
  1. 192 m
  2. 136 m
  3. 272 m
  4. 68 m

Solution

Maximum height is achieved when the projection is along the vertical direction,

Hmax=v22 g=136 m

Now, for maximum range, angle of projection should be 45°. Therefore,

Rmax=v2 g=2Hmax

=2136

=272 m

Asked in: JEE Main 2023 (24 Jan Shift 1)

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