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In a straight line motion, the distance travelled is proportional to the square root of the time taken. The acceleration of the particle is proportional to:

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Important Questions on Kinematics

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A particle travels 10 m in the first 5 sec and 10 m in the next 3 sec. Assuming constant acceleration, what is the distance traveled in the next 2 sec?
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A balloon rises from the ground with an acceleration of 1.25 m s-2. After 8 s, a stone is released from the balloon. The stone will (taking g=10 m s-2)
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A ball is thrown upwards. Its height varies with time as shown in the figure. If the acceleration due to gravity is 7.5 m s-2, then the height h is

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A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km h-1Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km h-1. The average speed of the man over the interval of time 0 to 40 min is equal to
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A man throws balls with the same speed vertically upwards one after the other at an interval of 2 s. What should be the speed of the throw so that more than two balls are in the sky at any time? (Given g=9.8 m s-2)
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Assertion: A body can have an acceleration even if its velocity is zero at a given instant of time. 
Reason: A body is momentarily at rest when it reverses its direction of motion.     
 
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Assertion: An object can have constant speed but variable velocity.
Reason: Speed is a scalar, but velocity is a vector quantity.
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Assertion: The speed of a body can be negative.
Reason: If the body is moving in the opposite direction of positive motion, then its speed is negative.