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A heavy stone is thrown in from a cliff of height h in a given direction. The speed with which it hits the ground

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Important Questions on Kinematics

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A particle when projected in vertical plane moves along the fixed smooth surface with initial velocity 20 m/s at an angle of 60°, so that its normal reaction on the surface remains zero throughout the motion. Then the slope of the tangent to the surface at height 5 m from the point of projection A will be:

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A projectile is thrown with a speed v at an angle θ with the vertical. Its average velocity between the instants it crosses half the maximum height is
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A ball is projected upwards from the top of a tower with a velocity of 50ms1, making an angle of 30o with the horizontal. The height of the tower is 70 m. After how much time, from the instant of throwing, will the ball reach the ground?
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If 4 seconds be the time in which a projectile reaches a point P of its path and 5 seconds the time from P till it reaches the horizontal plane through the point of projection. The height of P above the horizontal plane will be -g=9.8 m s-2
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Two objects moving along the same straight line are leaving point A with an acceleration a, 2a & velocity 2u, u, respectively at time t=0. The distance moved by the object with respect to point A when one object overtakes the other is
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A particle is moving along x-axis with constant acceleration. At t=0 the particle is at x=3 m and dxdt=+4 ms-1. The maximum value of x co-ordinate of the particle is observed 2 s later. Starting from t=0 sec, after what time particle reaches its initial position again?
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The displacement x and time of travel t for a particle moving on a straight line are related as t=(x+1)(x-1). Its acceleration at a time t is
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A particle is projected from ground in vertical direction at t=0. At t=0.8 s, it reaches h=14 m. It will again come to same height at t=? g=10 ms-2