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Question

A projectile is launched at t=0, with velocity u at an angle with the horizontal

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Solution

Projectile is an object projected with some velocity and its initial direction of motion makes an angle α ( α >0 and α <90°) with horizontal direction.
Projetile moves in a two dimensional plane so that at given time it has vertical displacement as well as horizontal displacement from the point of projection.
Let the projetion velocity be u and let it make an angle α with horizontal x-direction
velocity component :-ux=ucosαanduy=usinα
displacement component :- x=ucos(α)tandy=usin(α)t12gt2
y=bxcx2

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