The acceleration of a particle is increasing linearly with time t as bt .The particle starts from the origin with an initial velocity v_(0) The distance travelled by the particle in time t will be

The acceleration of particle is increasing linearly with time t as bt . The particle starts from the origin with an initial velocity v_0 . The distance travelled by the particle in time t will be.

The acceleratin of a particle increases linearly with time t as 6t. If the initial velocity of the particles is zero and the particle starts from the origin, then the distance traveled by the particle in time t will be

A particle starts from rest and has velocity kt after time t. The distance travelled in time t is-

The acceleration of a particle varies with time t as a=t^(2)+t+2 where t is in seconds. The particle starts with an initial velocity v-3m/s at t=0. find the velocity of the particle at the end of 5s.

The distance travelled (in meters) by the particle from time t = 0 to t = t will be –

A particle moves with an initial velocity v_(0) and retardation alpha v , where v is the velocity at any time t.

The distance travelled (in meters) by the particle from time to t = 0 to t = 1s will be –

A particle moves in the x-y plane according to the law x=t^(2) , y = 2t. Find: (a) velocity and acceleration of the particle as a function of time, (b) the speed and rate of change of speed of the particle as a function of time, (c) the distance travelled by the particle as a function of time. (d) the radius of curvature of the particle as a function of time.

Figure shows the speed versus time graph for a particle. Find the distance travelled by the particle during the time t=0 to t=3s.