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A ball is thrown up vertically with a certain velocity so that, it reaches a maximum height h. Find the ratio of the times in which it is at height h3 while going up and coming down respectively.

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Important Questions on Kinematics

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JEE Main
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A ball is projected with kinetic energy E, at an angle of 60° to the horizontal. The kinetic energy of this ball at the highest point of its flight will become :
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An object is projected in the air with initial velocity u at an angle θ. The projectile motion is such that the horizontal range R, is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be _____  degree.
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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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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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IMPORTANT
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