The maximum range of the projectile down the incline plane is?
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Inclined plane projectile :
Let θθ be the angle of projection with the horizontal and αα be angle of inclination with the horizontal.
Time taken
T=2usin(θ−α)gcosαT2usinθαgcosα
Range
R=2u2sin(θ−α)cosθgcos2αR2u2sinθαcosθgcos2α
Max Height attained
H=u2sin2(θ−α)gcosαHu2sin2θαgcosα
For Max range R,
2θ−α=π22θαπ2
So here, αα is 30°30 and θθ is 60°60,
Range will be 2u23g2u23g
^_^
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