An object moves such that is acceleration is given as `a = 3 - 2t`. Find the initial speed of the object such that the particle will have the same x-coordinate at `t = 5.0`s as it had at `t = 0`. Also find the object's velocity at `t = 5.0s`.

The acceleration of a particle is given as a = 3x^2 . At t = 0, v = 0, x = 0. The velocity at t = 2 sec will be-

A particle movesin the X-Y plane with a constasnt acceleration of 1.5 m/s^2 in the direction making an angle of 37^0 with the X-axis.At t=0 the particle is at the orign and its velocity is 8.0 m/s along the X-axis. Find the velocity and the position of the particle at t=4.0 s.

The distance covered by an object (in meter) is given by s=8 t^(3)-7t^(2)+5t Find its speed at t = 2 s.

The acceleration of particle varies with time as shown. (a) Find an expression for velocity in terms of t. (b) Calculate the displacement of the particle in the interval from t = 2 s to t = 4 s. Assume that v = 0 at t = 0.

The position of object moving along an x-axis is given by x=3t-4t^(2)+t^(3) , where x is in meters and t in seconds. Find the position of the object at the following values of t : (i) 2s, (ii) 4s, (iii) What is the object's displacement between t = 0 s and t = 4 s ? and (iv) What is its average vvelocity for the time interval from t = 2 s to t = 4 ?

An object is moving along +ve x-axis with a uniform acceleration of 4ms^(-2) . At time t=0 , x=5m and v=3ms^(-1) . (a) What will be the velocity and position of the object at time t=2s? What will be the velocity and position of the object when it has a velocity of 5ms^(-1) ?

The displacement x of an object is given as a funstion of time, x=2t+3t^(2) . The instantaneous velocity of the object at t = 2 s is

The distance travelled by a particle in time t is given by s=(2.5m/s^2)t^2 . Find a. the average speed of the particle during the time 0 5.0 s, and b. the instantaneous speed ast t=5.0 is