Q. 194.1( 20 Votes )

A ball is t

Answer :

(i) The value of acceleration due to gravity g will be taken as negative as the ball is going upwards.

Given,


Initial velocity of ball, u = 49 m/s


Final velocity of ball, v = 0 (As the ball stops at top)


Acceleration due to gravity, g = - 9.8 m/s2


Height, h =?


We know that,


v2 = u2 + 2gh


(0)2 = (49)2 + 2 × (-9.8) × h


0 = 2401 – 19.6 h


19.6 h = 2401


h =


= 122.5 m


(ii) Now, we will calculate the time taken by the ball to reach at the highest point:


Given,


Final velocity, v = 0 (As the ball stops at top)


Initial velocity, u = 49 m/s


Acceleration due to gravity, g = - 9.8 m/s2


Time taken, t =?


0 = 49 + (-9.8) × t


0 = 49 – 9.8 t


9.8 t = 49


t =


t = 5 s


The ball will take equal time to return to the surface of earth.


Therefore, Total time = 5 + 5


= 10 seconds

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