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The relation 3t = √3x +6 describes the displacement of a particle in one direction where x is in meters and t in sec. The displacement, when velocity is zero, is

If a body starts from rest and travels 120 cm in the 6th second, then what is the acceleration

A body starting from rest, accelerates at a constant rate a m/s² for some time after which it decelerates at a constant rate b m/s² to come to rest finally. If the total time elapsed is t sec, the maximum velocity attained by the body is given by

A bus begins to move with an acceleration of 1m s -² A man who is 48m behind the bus starts running at 10 ms-¹ to catch the bus. The man will be able to catch the bus after

A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top

At a metro station, a girl walks up a stationary escalator in time t1. If she remains stationary on the escalator, then the escalator take her up in time t₂. The time taken by her to walk up on the moving escalator will be

A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time (Given g = 9.8m/s²)

A particle moves along a straight line OX. At a time t (in seconds) the distance x (in meters) of the particle from O is given by x = 40 + 12t – t³..How long would the particle travel before coming to rest

A police jeep is chasing with velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity with which it will strike the car of the thief is

A 210 m long train is moving due North at a speed of 25 m/s. A small bird is flying due South a little above the train with speed 5 m/s. The time taken by the bird to cross the train is

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