The distance in meters described by a car in time t seconds is given by `s = 4t^(3) - 3t^(2) + 6t -1`. Determine the velocity and acceleration when (i) t = 0, (ii) t =2 seconds.

The equation of motion is given by s(t) = 2t^(3) - 6t^(2) + 6 . At what time the velocity and accelerations are zero?

If s = t^(3) - 4t^(2) + 7 the velocity when the acceleration is zero is

The equation of motion is given by s(t)=2t^3-6t^2+6 At what time, the velocity and accelerations are zero?

The distance s meters moved by a particle travelling in a straight line t seconds is given by s = 45t + 11t^(2) - t^(3) . Find the acceleration when the particle comes to rest.

If position of a particle at instant t is given by x=3t^(2) , find the velocity and acceleration of the particle.

The distance S (in kms ) travelled by a particle in time t hours is given by S (t) =( t^(2)+3t)/( 2) The distance travelled in 3 hrs .

The distance x metres travelled by a vehicle in time t seconds after the breakes are applied is given by x=20 t-(5)/(3) t^(2) . Determine (i) the speed of the vehicle (in km /hr) at the instant the brakes are applied and (ii) the distance the car travelled before it stops.

The angular displacement theta radians of a fly wheel varies with time t seconds and follow the equation theta = 9t^(2) - 2t^(3) . Determine the angular velocity and acceleration of the fly wheel when time t =1 seconds and (ii) The time when the angular acceleration is zero.

A particle is moving in a straight line its displacement at any instant t is given by x=5t^(2)+20t^(3) . Find the average acceleration in the interval t = 0 to t = 3 seconds.