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A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws n balls per second, the maximum height the balls can reach is

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Important Questions on Kinematics

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A ball is released from a height h. If t1 and t2 be the time required to complete first half and second half of the distance respectively. Then, choose the correct relation between t1 and t2.
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The maximum vertical height to which a man can throw a ball is 136 m. The maximum horizontal distance upto which he can throw the same ball is
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Vectors ai^+bj^+k^ and 2i^-3j^+4k^ are perpendicular to each other when 3a+2b=7, the ratio of a to b is x2. The value of x is _____.
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The velocity-time graph of a body moving in a straight line is shown in figure.

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The ratio of displacement and distance travelled by the body in time 0 to 10 s is

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If two vectors P=i^+2mj^+mk^  and Q=4i^-2j^+mk^  are perpendicular to each other. Then, the value of m will be 
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A car travels a distance of x with speed v1 and then same distance x with speed v2 in the same direction. The average speed of the car is:
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If P=3i^+3j^+2k^ and Q=4i^+3j^+2.5k^  then, the unit vector in the direction of P×Q is 1x(3i^+j^-23k^). The value of x is
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JEE Main
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The distance travelled by a particle is related to time t as x = 4t2. The velocity of the particle at t = 5 s is