A particle having a velocity `v = v_0` at `t= 0` is decelerated at the rate `|a| = alpha sqrtv ,` where `alpha` is a positive constant.

A particle having a velocity v = v_(0) " at " t = 0 is accelerated at a rate |a| = alpha sqrtv , where alpha is a positive constant. Calculate the distance travelled before the particle is brought to rest.

The velocity of a particle moving in the positive direction of x -axis varies as v = alpha sqrt(x) where alpha is positive constant. Assuming that at the moment t = 0 , the particle was located at x = 0 , find (i) the time dependance of the velocity and the acceleration of the particle and (ii) the mean velocity of the particle averaged over the time that the particle takes to cover first s meters of the path.

A point moves linearly with deceleration which is given by dv//dt=-alphasqrt(v) , where alpha is a positive constant. At the start v=v_(0) . The distance traveled by particle before it stops will be

A point moves rectilinearly with deceleration whose modulus depends on the velocity v of the particle as w=asqrtv , where a is a positive constant. At the initial moment the velocity of the point is equal to v_0 . What distance will it traverse before it stops? What time will it take to cover that distance?

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 located at position x=0, at time t=0, starts moving along the positive x-direction with a velocity v^2=alpha x (where alpha is a positive constant). The displacement of particle is proportional to

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. total distance covered by the particle is

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. After how much time, speed of particle decreases by 75%

The velocity v of a particle moving along x - axis varies with ist position (x) as v=alpha sqrtx , where alpha is a constant. Which of the following graph represents the variation of its acceleration (a) with time (t)?

A point moves rectilinearly with deceleration which depends on the velocity v of the particle as a = k sqrtv , where is apositive constant. At the initial moments the velocity of the point is equal to v_(0) . What distance will it cover before it stops, and what time it will take to cover that distance.