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A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d2 Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as

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Important Questions on Kinematics

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AMU-AT (B.Tech.)
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Two bullets are fired simultaneously, horizontally and with different speeds from the same place. Which bullet will hit the ground first?
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AMU-AT (B.Tech.)
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Acceleration-time graph of a body moving in a straight line is as shown in figure. The body started its motion from rest.

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At which point is the body moving with the largest speed?

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AMU-AT (B.Tech.)
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The displacement of a body is given by x=4t+5t3, where x is in metre and t is in second. The difference between the average velocity of the body in the time-interval t=1 s to t=2 s and its instantaneous-velocity at t=1 s is
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AMU-AT (B.Tech.)
IMPORTANT
The relation between time t and distance x for a moving particle is t=αx2+βx, where α and β are constants. If v is the velocity at distance x, then the retardation of the particle is
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AMU-AT (B.Tech.)
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Two seconds after projection, a projectile is moving at 30° above the horizontal, after one more second, it is moving horizontally. The initial speed of the projectile is (Take g=10 ms-2
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AMU-AT (B.Tech.)
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A particle has initial velocity 2i^+3j^ and acceleration 0.3i^+0.2j^. The magnitude of velocity after 10 seconds will be
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AMU-AT (B.Tech.)
IMPORTANT
If a particle's position is given by x=4-12t+3t2 where t is in the seconds and x in meters. What is its velocity at t=1s? Whether the particle is moving in positive x direction or negative x direction?
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AMU-AT (B.Tech.)
IMPORTANT
A ball is dropped vertically from a height d above the ground. It hits the ground and bounces up vertically to a height d2 Neglecting subsequent motion and air resistance, its velocity v varies with the height h above the ground as