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Question

Physics Question on Motion in a straight line

A ball is thrown upwards, it takes 4s4 s to reach back to the ground. Find its initial velocity :

A

30ms130\,ms^{-1}

B

10ms110\,ms^{-1}

C

40ms140\,ms^{-1}

D

20ms120\,ms^{-1}

Answer

20ms120\,ms^{-1}

Explanation

Solution

Since, the ball is thrown upwards and it reaches back, so time to reach maximum height is half of total time i.e., tmax=2st_{\max }=2 s. Also speed at maximum height is zero, so 0=ugtmax0=u-g t_{\max } u=gtmax=20ms1(g=10ms2)\Rightarrow u=g t_{\max }=20 \,ms ^{-1} \,\,\left(\because g =10 ms ^{-2}\right)