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Question: A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction. It ...

A stone is thrown with an initial speed of 4.9 m/s from a bridge in vertically upward direction. It falls down in water after 2 sec. The height of the bridge is

A

4.9 m

B

9.8 m

C

19.8 m

D

24.7 m

Answer

9.8 m

Explanation

Solution

Speed of stone in a vertically upward direction is 4.9 m/s. So for vertical downward motion we will consider u=4.96mum/su = - 4.9\mspace{6mu} m/s

h=ut+12gt2=4.9×2+12×9.8×(2)2=9.86mumh = ut + \frac{1}{2}gt^{2} = - 4.9 \times 2 + \frac{1}{2} \times 9.8 \times (2)^{2} = 9.8\mspace{6mu} m