A particle is moving in XY plane such that its velocity in x-direction remains constant at `5 m//s` and its velocity in y-direction varies with time as `v = 3 t m//s`, where t is time in seconds. Find :

A particle in moving in a straight line such that its velocity is given by v=12t-3t^(2) , where v is in m//s and t is in seconds. If at =0, the particle is at the origin, find the velocity at t=3 s .

A particle is moving in a straight line under constant acceleration of 4 m//s^(2) . If its velocity at t=0 is 10 m//s, the displacement of particle in the 5^(th) second of its motion is

if a=3t^(2)+2t , initial velocity is 5 m//s . Find the velocity at t=4s. The motion is in straight line, a is acceleration in m//s^(2) and t is time in seconds.

A particle moves with an initial velocity V_(0) and retardation alpha v , where alpha is a constant and v is the velocity at any time t. Velocity of particle at time is :

A particle is moving such that its position coordinates (x,y) are (2m,3m) at time t=0,(13m,14m) at time t=5s .Average velocity vector from t =0 to t=5s

A particle is moving with initial velocity 1m/s and acceleration a=(4t+3)m/s^(2) . Find velocity of particle at t=2sec .

A particle starts moving rectilinearly at time t = 0 such that its velocity v changes with time t according to the equation v = t^2-t , where t is in seconds and v is in m s^(-1) . The time interval for which the particle retrads (i.e., magnitude of velocity decreases)is

At the moment t=0 particle leaves the origin and moves in the positive direction of the x-axis. Its velocity varies with time as v=10(1-t//5) . The dislpacement and distance in 8 second will be

Velocity of a particle moving in a curvilinear path varies with time as v=(2t hat(i)+t^(2) hat(k))m//s . Here t is in second. At t=1 s