A particle moves in a straight line and its velocity v at time t seconds is given by `v=(6t^(2)-2t+3)` cm/sec. Find the distance travelled by the particle during the first 5 second after the start.

A particle starts from the origin and moves along a straight line. If the velocity of the particle at time t seconds be 10t cm/s, find the distance traversed during first 4 seconds after the start.

A particle moves in a straight line and its velocity v (in cm/s ) at time t (in second ) is 6t^(2) - 2t^(3) , find its acceleration at the end of 4 seconds.

A particle starts from the origin with a velocity 5 cm/s and moves in a straight line its accelration at time t seconds being (3t^(2)-5t)cm//s^(2) . Find the velocity of the particle and its distance from the origin at the end of 4 seconds.

A particle moving in a stright line covers a distance of x cm in t seconds, where x = t^(3) + 6t^(2) - 15t + 18. Find the velocity and acceleration of the paricle at the end of 2 seconds. When does the particle stop ?

A partiole is moving in a straight line such that its velocity at time t is proportional to t^(5) . Then its acceleration is proportional to

A particle moves with uniform acceleration and the distance travelled in t - th second is s_(t) = 3 + 2t . Find the initial velocity of the particle .

A particle moves in a straight line such that its distance x from a fixed point on it at any time t is given by x=1/4 t^4-2t^3+4t^2-7 . Find the time its velocity is maximum and the time when its acceleration is minimum.

The distance S metres moved by a particle traveling in a straight line in t second is given by S = 45t +11t^2-t^3 . Find the time when the particle comes to rest.

Distance covered by a particle moving in a straight line from origin in time t is given by x = t- 6t^(2)+t^(3) . For what value of t, will the particle's acceleration be zero?

A particle moves in a straight line such that its distance x from a fixed point on it at any time t is given by x=(1)/(4)t^(4)-2t^(3)+4t^(2)-7 Find the time when its velocity is maximum and the time when its acceleration is minimum .