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Q.

A block slides down a rough inclined plane of slope angle θ with a constant velocity. It is then projected up the same plane with an initial velocity v. The distance travelled by the block up the plane before coming to rest is

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a

v24gsinθ

b

v22gsinθ

c

v2gsinθ

d

4gv2sinθ

answer is A.

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Detailed Solution

ad=gsin⁡θ−μkcos⁡θau=gsin⁡θ+μkcos⁡θ,v2−u2=2as
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A block slides down a rough inclined plane of slope angle θ with a constant velocity. It is then projected up the same plane with an initial velocity v. The distance travelled by the block up the plane before coming to rest is