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The variation of speed (in m/s) of an object with time (in seconds) is given by the expression V(t)=V0-5t+5t2

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Important Questions on Kinematics

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An object having a velocity 5 m/s is accelerated at the rate 2 m/s2 for 6 s. Find the distance travelled during the period of acceleration
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A particle is moving along with X -axis such that its acceleration is proportional to the displacement from the equilibrium position and they are in the same direction. The displacement xt is given by (where ω>0 is a constant)
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The following plot gives the variation of acceleration m/s2 with time (s) for an object that started from rest at time t=0 s. The velocity at time t=15 sv15 and at 25 s V25, respectively are

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The one-dimensional motion of a point particle is shown in the figure. Select the correct statement.

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The position vector of the particle is rt=acosωti^+asinωtj^, where a and ω are real constants of suitable dimensions. The acceleration is
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Two projectiles P and Q thrown with velocities v and v2 respectively have the same range. If Q is thrown at an angle of 15° to the horizontal, P must be thrown at an angle of
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A ball of mass m is projected upward with a speed v0. The speed at a height h is (Neglecting air resistance)
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Which of the following graphs represents the speed v of a vertical projectile as a function of time t?