A particle move with a velocity `v=alpha t^(3)` along a straight line.The average velocity in time interval t=0 to t=T is (A) `alphaT^(3)` (B) `(alpha T^(3))/(2)` (C) `(alpha T^(3))/(3)` (D) `(alpha T^(3))/(4)`

A particle moves with a velocity v(t)= (1/2)kt^(2) along a straight line . Find the average speed of the particle in a time t.

A particle moves with an initial velocity v_(0) and retardation alpha v , where v is the velocity at any time t.

A particle move with velocity v_(1) for time t_(1) and v_(2) for time t_(2) along a straight line. The magntidue of its average acceleration is

A particle is moving with velocity v=4t^(3)+3 t^(2)-1 m//s . The displacement of particle in time t=1 s to t=2 s will be

If a particle is moving the velocity v(t)=cos pi t, along a straight line such that at t=0, s=4, its position function is given by

Figure shows the velocity time graph for a particle travelling along a straight line. The magnitude of average velocity (in m/s) of particle during the time interval from t=0 to t=6s is 10 alpha . Find the value of alpha .

A particle moves in a straight line as s =alpha(t-4)+beta(t-4)^(2) . Find the initial velocity and acceleration.

For which of the following graphs the average velocity of a particl moving along a straight line for time interval (0,t) must be negative -

The position of a particle moving on a straight line depends on time t as x=(t+3)sin (2t)

A particle moves along a line by s=t^(3)-9t^(2)+24t then S is decreasing when t in