A particle moves along a line so that its velocity at time t is
`v(t)=t^(2)-t-6` (measured in meters per second) ltbr. (a). Find the displacement of the particle during the time period `1letle4`
(b). Find the distance traveled dring this time period.

Suppose that a particle mvoes on a straight line so that is velocity at time t is v(t)=(t^(2)-2t)m//s . (a). Find the displacement of the particle during the time interval 0 le t le 3 (b). Find the distance traveled by the particle during the time interval 0 le t le 3 .

A particle moves along a straight line its velocity dipends on time as v=4t-t^(2) . Then for first 5 s :

A particle moves along a straight line such that its displacement s at any time t is given by s=t^3-6t^2+3t+4m , t being is seconds. Find the velocity of the particle when the acceleration is zero.

A particle is moving along the x-axis such that s=6t-t^(2) , where s in meters and t is in second. Find the displacement and distance traveled by the particle during time interval t=0 to t=5 s .

A particle moves along a straight line such that its displacement at any time t is given by s = 3t^(3)+7t^(2)+14t + 5 . The acceleration of the particle at t = 1s is

A particle moves along x-axis and its acceleration at any time t is a = 2 sin ( pit ), where t is in seconds and a is in m/ s^2 . The initial velocity of particle (at time t = 0) is u = 0. Q. Then the distance travelled (in meters) by the particle from time t = 0 to t = t will be :

A particle moves along x-axis and its acceleration at any time t is a = 2 sin ( pit ), where t is in seconds and a is in m/ s^2 . The initial velocity of particle (at time t = 0) is u = 0. Q. Then the distance travelled (in meters) by the particle from time t = 0 to t = 1 s will be :

A particle moves along a staight line such that its displacement at any time t is given by s=t^3-6t^2+3t+4m . Find the velocity when the acceleration is 0.

A particle moves along x -axis. The position of the particle at time t is given as x=t^(3)-9t^(2)+24t+1 . Find the distance traveled in first 5 seconds.

The displacement s of a particle at a time t is given bys =t^(3)-4t^(2)-5t. Find its velocity and acceleration at t=2 .