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Q.

A ball of mass m is thrown vertically up in air from the ground with initial speed u and is found to return to the starting point with a lesser speed of v. If g is the acceleration due to gravity, the maximum height reached by the ball is

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a

u22g

b

v22g

c

u2+v22g

d

u2+v24g

answer is D.

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Detailed Solution

energy loss by the ball =12m(u2-v2)=2mgh h is the height loss due resistive force h=u2-v24g so height it has reached u22g-h=u22g-(u2-v24g)=u2+v24g
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A ball of mass m is thrown vertically up in air from the ground with initial speed u and is found to return to the starting point with a lesser speed of v. If g is the acceleration due to gravity, the maximum height reached by the ball is