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The numerical ratio of displacement to the distance covered is always

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Important Questions on Kinematics

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A particle moves in a straight line for 20 seconds with velocity 3 m s-1 and then moves with velocity 4 m s-1 for another 20 seconds and finally moves with velocity 5 m s-1 for next 20 seconds. What is the average velocity of the particle?
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An object travels 10 km at a speed of 100 m s-1 and another 10 km at 50 m s-1. The average speed over the whole distance is:-
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A point object traverses half the distance with velocity v0. The remaining part of the distance is covered with velocity v1 for the half-time and with velocity v2 for the rest half. The average velocity of the object for the whole journey is
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Select the incorrect statements from the following.
S1: Average velocity is path length divided by time interval.
S2: In general, the average speed is greater than the magnitude of the average velocity.
S3: A particle moving in a given direction with a non-zero velocity can have zero speed.
S4: The magnitude of average velocity is the average speed.
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If x denotes displacement in time t and x=acost, then acceleration is:
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The velocity-time relation of an electron starting from rest is given by u=kt, where k=2 m s-2. The distance traversed in 3 sec is:
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The position x of a particle varies with time t as x=at2-bt3. The acceleration at time t of the particle will be equal to zero, where t is equal to:
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A particle moves along a straight line such that its displacement at any time t is given by s=t3+6t2+3t+4 metres. The velocity when the acceleration is zero is: