max height of projectile on inclined plane?
abhishek mangla , 15 Years ago
Grade 12
Mechanics> kinematics...
1 Answers
Ramesh V
Last Activity: 15 Years ago
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.
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.
and gsin are the two rectangular components of g.Now,
vx= v cos(-) and vy = v sin(-).
-) 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
-) T -(1/2) g cos T2or T = 2 v sin(-)/g cos
-)/g cos Range on the inclined plane is
R = 2v2 sin(-) cos/g cos2
-) cos/g cos2 Rmax= v2/g (1+sin)
) Hmax= v2sin2(-)/2g cos
-)/2g cosProvide a better Answer & Earn Cool Goodies
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