Motion in a Str...

The position x of a particle varies with time t asx = at²–bt³. The acceleration of the particle will bezero at time t equal to

A truck and a car are moving with equal velocity. On applying the brakes both will stop after certaindistance, then

If a train travelling at 72 kmph is to be brought to rest in a distance of 200 metres, then its retardation should be

The motion of a particle is described by the equation x = a + bt², where a = 15 cm and b = 3 cm/s². Its instantaneous velocity at time 3 sec will be

A body is moving according to the equation x = at + bt²– ct³, where x = displacement and a, b and c are constants. The acceleration of the body is

The distance travelled by a particle is proportional to the squares of time, then the particle travels with

Acceleration of a particle changes when

The average velocity of a body moving with uniform acceleration travelling a distance of 3.06 m is 0.34 ms^–1. If the change in velocity of the body is 0.18 ms^–1 during this time, its uniform acceleration is

Equation of displacement for any particle is s = 3t³ + 7t² + 14t + 8m. Its acceleration at time t =1sec is