The deceleration exerienced by a moving motor blat, after its engine is cut-off is given by `dv//dt=-kv^(3)`, where `k` is constant. If `v_(0)` is the magnitude of the velocity at cut-off, the magnitude of the velocity at a time `t` after the cut-off is.

The retadation experienced by a moving motor boat after its, engine is cutoff at the instant t is given by a=-kv^4,where k is is a constant. If v_0 is the magnitude of velocity at the cutoff, find the magnitude of velocity at time t after the cutoff.

The retardation experienced by a movign motr bat after its engine is cut-off , at the instant (t) is given by , =-k v^4 , where (k) is a constant. If v_0 is the magnitude of velocity at the cut-off , the magnitude fo velocity at time (t) after the cut-off is .

The acceleration. If v_(0) is themagnitude the engine is cut off, is given by (dv)/(dt) =- k v^(2) , wher (k) is a constant. If v_(0) is the magnitude of the velocity at cut off, find the magnitude of the velocity at time (t0 after the cut off.

A steamboat is moving at velocity v_0 when steam is shut off. It is given that the retardation at any subsequent time is equal to the magnitude of the velocity at that time. Find the velocity and distance travelled in time t after the steam is shut off.

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 box is thrown with velocity v_(0) on top of a rough table of length l . Assume friction on the object is such that during its motion, its acceleration is given as a = -kv , where k is a positive constant. Find the velocity of the box when it leaves the edge of the table. Also find the time after which it falls off the edge.

A particle is projected with a speed v and an angle theta to the horizontal. After a time t, the magnitude of the instantaneous velocity is equal to the magnitude of the average velocity from 0 to t. Find t.

A particle is moving with a constant speed v in a circle. What is the magnitude of average velocity after half rotation?

The acceleration (a) of an object varies as a function of its velocity (v) as a=lambda sqrt(v) where lambda is a constant.If at t=0,v=0, then the velocity as a function of time (t) is given as