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The position vector of a particle changes with time according to the relation rt=15t2i^+4-20t2j^. What is the magnitude of the acceleration at t=1?

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Important Questions on Kinematics

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In the cube of side a shown in the figure, the vector from the central point of the face ABOD to the central point of the face BEFO will be:
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A body is thrown vertically upwards. Which one of the following graphs correctly represents the velocityv vs time t?
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An automobile, traveling at 40 km h-1, can be stopped at a distance of 40 m by applying brakes. If the same automobile is traveling at 80 km h-1, the minimum stopping distance in metres is (Assume no skidding):
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A tennis ball is released from a height h and after freely falling on a wooden floor it rebounds and reaches height h/2. The velocity versus height of the ball during its motion may be represented graphically by: (graphs are drawn schematically and on not to scale)
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The acceleration at the end of 2 s, of a particle whose motion is represented by the equation S=4t3-8t2+5t+4 is ______
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Consider a car initially at rest, starts to move along a straight road first with acceleration 5 m s-2, then with uniform velocity and finally, decelerating at 5 m s-2,, before coming to a stop. Total time taken from start to end is t=25 s. If the average velocity during that time is 72 km hr-1, the car moved with uniform velocity for a time of
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A body is projected vertically upwards with a velocity 'u' from the top of a tower. Time taken by it to reach the ground is 'n' times the time taken by it to reach the highest point in its path. Height of the tower is
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Consider the acceleration, velocity and displacement of a tennis ball as its falls to the ground and bounces back. Directions of which of these change in the process?