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The equations of motion of a projectile are given by x = 36 t metre and 2y=96t98t2 metre. The angle of projection is

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a
sin−1⁡45
b
sin−1⁡35
c
sin−1⁡43
d
sin−1⁡34

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detailed solution

Correct option is A

Given thatx = 36 t and 2y=96t−9⋅8t2From the given equations, we haveVx=dxdt=36 and vy=dydt=48−9⋅8tAt     t=0,Vy=48∴ V=Vx2+Vy2=60This is shown in fig. (8).From figuresin⁡θ=VyV=4860=45or      θ=sin−1 4/5


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Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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