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Q.

A particle is projected from a horizontal plane with a speed u at some angle. At highest point its velocity is found to be u/2. Then the maximum height attained by the projectile is

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a

u2/4g

b

3u2/4g

c

3u2/8g

d

u2/8g

answer is C.

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Detailed Solution

If α be the angle of projection, Then u cosα=u/2⇒α=60o∴Hmax=u sinα22g=u2sin260o2g=3u28g
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A particle is projected from a horizontal plane with a speed u at some angle. At highest point its velocity is found to be u/2. Then the maximum height attained by the projectile is