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Question

If a ball is dropped from rest . It because from the floor respectively . The coefficient of restitution is 0.5 and the speed just before the first  bounce is 5 m/sec. The total time taken by the ball to come to rest is :


Options:
A .  2 sec
B .  1 sec
C .  0.5 sec
D .  0.25 sec
Answer: Option C

`because `       acceleration =`a = (v - u)/(t)`

or        `a = (v - v_0)/(t)`

or        `g = (v - v_0)/(t)`                          (considered average force)

`because                    v = 0`

speed before first bounce

     `v_0 `= 5 m/sec`(uarr)`

`:.`   t = `(v - v_0)/(g) = (0 - (-5))/(10) =  5/10 = 0.5 sec`




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