A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 m s-2, with what velocity will it strike the ground? After what time will it strike the ground?

Given,

Initial velocity, u = 0 (As the ball is dropped from rest)


Final velocity, v =?


Acceleration, a = 10 m/s2


Distance, s = 20 m


We know that,


v2 = u2 + 2as


v2 = (0)2 + 2 × 10 × 20


v2 = 0 + 400


v2 = 400


v =


v = 20 m/s


Now we have to calculate the time taken:


We know that:


v = u + at


20 = 0 + 10 × t


10t = 20


t =


t = 2 s


Therefore, after 2 seconds the ball will strike the ground.


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