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13 May 2010 17:09:48 IST

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a ball is projected vertically upwards with an initial velocity of 100m/s.find the speed of the ball

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a ball is projected vertically upwards with an initial velocity of 100m/s.find the speed of the ball at half the maximum height.take g=10m/s^2.

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trivikram kumar

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Joined: 9 Aug 2008

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13 May 2010 17:27:16 IST

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200/6 m/s

Deepak Aggarwal

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13 May 2010 19:31:27 IST

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The ball will reach maximum height (h) when velocity of ball is zero.

Using, ( 0 )² - u²= 2 ( -g ) h

So, h = u² / 2 g = ( 100 )² / 2 g

So, velocity of ball at half the max. height ( h / 2 ) will be given by,

v² - u² = 2 ( - g ) ( h / 2 )

or, v² = ( 100 )² - ( 100 )² / 2

or, v = 100 ( 1 / 2 )^1/2 = 50 ( 2 )^1/2 (Ans)............

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