A particle is thrown at time t = 0 with a velocity of 10ms−1 at an angle 60∘ with the horizontal from a point on an inclined plane, making an angle of 30∘ with the horizontal. The time when the velocity of the projectile becomes parallel to the incline is

A body is project at t= 0 with a velocity 10ms−1 at an angle of 60∘ with the horizontal .The radius of curvature of its trajectory at t=1 s is R. Neglecting air resistance and taking acceleration due to gravity g=10 ms−2, the value of R is :

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When a body is thrown up in a lift with a velocity u relative to the lift, the time of flight is found to be t. The acceleration with which the lift is moving up is

On a frictionless horizontal surface , assumed to be the x−y plane , a small trolley A is moving along a straight line parallel to the y−aξs( see figure) with a constant velocity of (3–√−1)m/s . At a particular instant , when the line OA makes an angle of 45(∘) with the x−aξs , a ball is thrown along the surface from the origin O. Its velocity makes an angle ϕ with the x−axis and its hits the trolley

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