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max height of projectile on inclined plane? max height of projectile on inclined plane?
PROJECTILE FIRED FROM AN INCLINED PLANE Consider an inclined palne which makes an with the horizontal. Let a projectile be projected with a velocity 'v' making an angle with the horizontal. Let us choose X axis along the inclined plane and Y-axis perpendicular to it. gcos and gsin are the two rectangular components of g. Now, vx= v cos(-) and vy = v sin(-). Let T = time of flight of the projectile The displacement of the projectile perpendicular to the inclined plane is clearly Zero. Using S = ut + (1/2) a t2, for motion along y-axis, we get 0 = v sin(-) T -(1/2) g cos T2 or T = 2 v sin(-)/g cos Range on the inclined plane is R = 2v2 sin(-) cos/g cos2 Rmax= v2/g (1+sin) Hmax= v2sin2(-)/2g cos
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