The displacement of a particla moving in straight line is given by `s=t^(4)+2t^(3)+3t^(2)+4`, where s is in meters and t is in seconds. Find the
(a) velocity at `t=1 s`, (b) acceleration at `t=2 s`,
(c ) average velocity during time interval `t=0` to `t=2 s` and
(d) average acceleration during time interval `t=0` to `t=1 s`.

The displacement of a particle moving in a straight line, is given by s = 2t^2 + 2t + 4 where s is in metres and t in seconds. The acceleration of the particle is.

The displacement of a particle moving in a straight line is given by s=t^(3)-6t^(2)+3t+4 meters.The velocity when acceleration is zero is "

A partical is moving in a straight line such that s=t^(3)-3t^(2)+2 , where s is the displacement in meters and t is in seconds. Find the (a) velocity at t=2s , (b) acceleration at t=3s , ( c) velocity when acceleration is zero and (d) acceleration when velocity is zero.

The angular position of a point on the rim of a rotating wheel is given by theta=4t^(3)-2t^(2)+5t+3 rad. Find (a) the angular velocity at t=1 s , (b) the angular acceleration at t=2 s . (c ) the average angular velocity in time interval t=0 to t=2 s and (d) the average angular acceleration in time interval t=1 to t=3 s .

The position of a particle moving on the x-axis is given by x=t^(3)+4t^(2)-2t+5 where x is in meter and t is in seconds (i) the velocity of the particle at t=4 s is 78 m//s (ii) the acceleration of the particle at t=4 s is 32 m//s^(2) (iii) the average velocity during the interval t=0 to t=4 s is 30 m//s (iv) the average acceleration during the interval t=0 to t=4 s is 20 m//s^(2)

The displacement of a particle moving along an x axis is given by x=18t+5.0t^(2) , where x is in meters and t is in seconds. Calculate (a) the instantaneous velocity at t=2.0s and (b) the average velocity between t=2.0s and t=3.0s .

Find average speed in time interval t= 2 to t=10s

A particle is moving along a line according to s=f(t) =4t^(3)-3t^(2)+5t-1 where s is measured in meter and t is measured in seconds. Find the velocity and acceleration at time t. At what time the acceleration is zero.