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A point moves such that its displacement as a function of time is given by x3=t3+1. Its acceleration as a function of time t will be

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Important Questions on Kinematics I

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JEE Advanced
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The acceleration of a particle starting from rest and travelling along a straight line is shown in figure. The maximum speed of the particle is

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JEE Advanced
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A particle is moving along a straight line whose v-s graph is shown in figure. What is the acceleration when displacement is 3 m?

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JEE Advanced
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Figure below shows the v-s curve for an object moving along a straight line. At which of the points marked is the object speeding up?

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JEE Advanced
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Velocity versus displacement graph of a particle moving in a straight line as shown in the figure. The acceleration of the particle

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JEE Advanced
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The velocity versus displacement graph of a particle moving in a straight line is shown in the figure. The corresponding acceleration versus velocity graph will be

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JEE Advanced
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The acceleration vs velocity graph of a particle moving in a straight line is shown in the figure. Then the slope of the velocity vs displacement graph

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JEE Advanced
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A particle starts moving rectilinearly at the time t=0 such that its velocity v changes with time t according to the equation v=t2-t, where t is in seconds and v is in m s-1. The time interval for which the particle retards (i.e., magnitude of velocity decreases) is
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JEE Advanced
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An object is moving in the xy plane with the position as a function of time given by r=xti^+ytj^. Point O is at x=0, y=0. The object is definitely moving towards O when