A particle is projected at angle 37° with the incline plane in upward direction with speed 10 m/s. The angle of incline plane is given 53°. Then the maximum height above the incline plane attained by the particle will be
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Question

A particle is projected at angle 37° with the incline plane in upward direction with speed 10 m/s. The angle of incline plane is given 53°. Then the maximum height above the incline plane attained by the particle will be

Options

G1 Physics · Accepted Answer

The incline is at 53° and the projectile is fired 37° above the incline, so its launch direction is vertical. Relative to the incline, the initial normal component is u⊥ = 10sin37° = 6 m/s and gravity normal to the incline is g⊥ = gcos53° = 6 m/s². Hence maximum normal height H = u⊥²/(2g⊥) = 36/12 = 3 m. Therefore option A.