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Question: A body, thrown upwards with some velocity, reaches the maximum height of 20m. Another body with doub...

A body, thrown upwards with some velocity, reaches the maximum height of 20m. Another body with double the mass thrown up, with double initial velocity will reach a maximum height of

A

200 m

B

16 m

C

80 m

D

40 m

Answer

80 m

Explanation

Solution

Mass does not affect on maximum height.

H=u22gHu2H = \frac{u^{2}}{2g} \Rightarrow H \propto u^{2}, So if velocity is doubled then height will become four times. i.e.H=20×4=80mH = 20 \times 4 = 80m