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Question

A body is released from the top of a smooth inclined plane at height h above the ground. Simultaneously another body is pushed up with a velocity u from the bottom. If they meet after time t, an inclination of that inclined plane to the horizontal is

A
sin1(thu)
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B
cos1(thu)
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C
sin1(hut)
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D
cos1(hut)
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Solution

The correct option is C sin1(hut)
Acceleration on the inclined plane is ±gsinθ
S1=12(gsinθ)t2 down the inclined plane
S2=ut12gsinθt2 up along the inclined plane
S=S1+S2=ut
hsinθ=ut
θ=sin1(hut)

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