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Q.

As shown in the below figure a body is projected up the plane, then the values of Ux and Uy are

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a

u cos (α−β), u sin (α−β)

b

u tan (β−α), u cot (α−β)

c

u sin (β−α), u cot (α−β)

d

u cot (α−β), u cot (α−β)

answer is A.

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Detailed Solution

Here θ=α−β=angle made by U, with respect to inclined planeUx=ucos⁡θ=ucos⁡(α−β);  component of initial velocity along inclined planeUy=usin⁡θ=usin⁡(α−β); component of initial velocity along a line perpendicular to the  inclined plane with respect to horizontal,    angle of projection is α, and angle made by inclined plane is β
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