The displacement `x` of a particle varies with time `t` as `x = ae^(-alpha t) + be^(beta t)`. Where `a,b, alpha` and `beta` positive constant.
The velocity of the particle will.

The displacement x of a particle varies with time as x=a e^(alphat)+be^(betat) where a,b,a, beta are constants and are positives. The velocity of the particle will:

Displacement of particle changes with respect to time according to equation x =ae ^(-alpha t) + be ^(betat) where a, b, a and Bare positive constants, then velocity of particle is ......

The displacement (x) of particle depends on time (t) as x = alpha t^(2) - beta t^(3) .

A particle of unit mass is moving along x-axis. The velocity of particle varies with position x as v(x). =alphax^-beta (where alpha and beta are positive constants and x>0 ). The acceleration of the particle as a function of x is given as

A particle of unit mass is moving along x-axis. The velocity of particle varies with position x as v(x). =alphax^-beta (where alpha and beta are positive constants and x>0 ). The acceleration of the particle as a function of x is given as

Displacement (x) of a particle is related to time (t) as x = at + b t^(2) - c t^(3) where a,b and c are constant of the motion. The velocity of the particle when its acceleration is zero is given by:

The instantaneous velocity of a particle moving in a straight line is given as v = alpha t + beta t^2 , where alpha and beta are constants. The distance travelled by the particle between 1s and 2s is :

The linear momentum of a body varies with time as p= alpha + beta t^2 where alpha and beta are constants .The net force acting on the body is proportional to :