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=ucosθ=ucos(α−β); component of initial velocity along inclined planeUy=usinθ=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