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The angle of projection of a projectile which is projected with certain velocity from ground is π8 with horizontal and its horizontal range is R. The angle with the horizontal for another projectile having same range R and speed is

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Important Questions on Motion in a Plane

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Two particles A and B start moving with velocities 20 m s-1 and 302 m s-1 along x-axis and at an angle 45° with x-axis, respectively in xy-plane from origin. The relative velocity of B w.r.t. A
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A particle is moving with constant speed v in plane as shown in figure. The magnitude of the angular velocity about point O is

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A particle is moving eastwards with a speed of 6 m s-1. After  6 s, the particle is found to be moving with same speed in a direction 60° north of east. The magnitude of average acceleration in this interval . of time is

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When a force F acts on a particle of mass m, the acceleration of particle becomes a. Now if two forces of magnitude 3 F and 4 F acts on the particle simultaneously as shown in figure, then the acceleration of the particle is

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Out of the two cars A and B, car A is moving towards east with a velocity of 10 m s-1 whereas B is moving towards north with a velocity 20 m s-1, then velocity of A w.r.t. B is (nearly)
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A man moves in an open field such that after moving 10 m on a straight line, he makes a sharp turn of 60° to his left. The total displacement just at the start of 8th  turn is equal to
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Four persons P, Q, R and S are initially at the four corners of a square of side d. Each person now moves with a constant speed v in such a way that P always moves directly towards Q, Q towards R, R towards S, and S towards P. The four persons will meet after time
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A particle is projected at angle θ with horizontal from ground. The slop (m) of the trajectory of the particle varies with time (t) as