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Question

Physics Question on Motion in a straight line

A girl standing on a stationary lift (open from above) throws a ball upwards with initial speed 50ms150 \,m \,s^{-1}. The time taken by the ball to return to her hands is (Take g=10ms2g= 10 \,m \,s^{-2})

A

5s5\,s

B

10s10\,s

C

15s15\,s

D

20s20\,s

Answer

10s10\,s

Explanation

Solution

Using, S=ut+12at2S=ut+\frac{1}{2} at^{2} Here S=0S = 0, u=50ms1u = 50\,m\,s^{-1}, a=g=10ms2a=-g=-10\,m\,s^{-2} 0=50t+12×(10)t2=50t5t2\therefore 0=50t+\frac{1}{2}\times\left(-10\right)t^{2}=50t-5t^{2} t=10s\Rightarrow t=10\,s