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In uniform circular motion

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Important Questions on Motion in a Plane

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If a body is moving in circular path of radius 14 m. It complete one revolution in 7 s. Considering the speed to be uniform, the value of centripetal acceleration is
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A man is walking on a horizontal road at velocity 5 km h-1 and the rain appears to be falling vertically at 5 km h-1 to him. The magnitude of velocity of rain with respect to the man is
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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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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)