Home
Class 11
PHYSICS
The displacement x of a particle varies ...

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.

A

Go on decreasing with time

B

Be independent of `alpha and beta`

C

Drop to zero when `alpha = beta`

D

Go on increasing with time

Text Solution

Verified by Experts

The correct Answer is:
D

Go on increasing with time
Promotional Banner

Similar Questions

Explore conceptually related problems

If the displacement of a particle varies with time as sqrt x = t+ 3

If displacements of a particle varies with time t as s = 1/t^(2) , then.

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:

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

If the displacement of a particle varies with time as sqrt(x) = t + 7 . The -

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 displacement x of a particle varies with time t as x=4t^(2)-15t+25 Find the position, velocity and acceleration of the particle at t=0. When will the velocity of the particle become zero? Can we call the motion of the particle as one with uniform acceleration ?

The displacement of a particle at time t is given by vecx=ahati+bthatj+(C )/(2)t^(2)hatk where a, band care positive constants. Then the particle is

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 :