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When a cricket ball is thrown vertically upwards, it reaches a maximum height of 5 metres. (a) What was the initial speed of the ball? (b) How much time is taken by the ball to reach the highest point?

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When a cricket ball is thrown vertically upwards, it reaches a maximum height of 5 metres.

(a) What was the initial speed of the ball?

(b) How much time is taken by the ball to reach the highest point? (g = 10 ms-2)

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Initial velocity, u = ?

Final velocity, v = 0

Acceleration due to gravity, g = -10m/s2

Height, h = 5 m

(a) For a freely falling body:

v2 = u2 + 2gh

(0)2 = u2 + 2 x (-10) x 5

0 = u2 - 100

u2 = 100

So, u = 10m/s

(b) Using relation, v = u + gt

0 = 10 + (-10) t

-10 = -10 t

t = 1 sec

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