If the time and displacement of the particle along the positive x-axis are related as `t=(x^(2)-1)^(1//2)`, find the acceleration in terms of `x`.

The displacement x of a particle along the x-axis at time t is given by x=a_1/2t+a_2/3t^2 . Find the acceleration of the particle.

The displacement x of a particle along the x-axis at time t is given by x=a_1/2t+a_2/3t^2 . Find the acceleration of the particle.

The displacement of a particle along the x-axis is given by x=3+8t+7t^2 . Obtain its velocity and acceleration at t=2s .

The displacement of a particle along the x-axis is given by x=3+8t+7t^2 . Obtain its velocity and acceleration at t=2s .

A particle experience an acceleration a=(4e^(-3t))m/s^(2) along positive x-axis, where t is time in s .If the initial velocity of the particle is 2m/s along positive x-axis,the velocity of the particle when its acceleration becomes zero is?

A particle experience an acceleration a=(4e^(-3t)) ,m/ s^(2) along positive x-axis,where t is time in s.If the initial velocity of the particle is 2m/s along positive x -axis,the velocity of the particle when its acceleration becomes zero is ?

The displacement 'x' and time of travel 't' for a particle moving an a straight line are related as t = sqrt((x+1)(x-1)) . Its acceleration at a time t is

The displacement 'x' and time of travel 't' for a particle moving an a straight line are related as t = sqrt((x+1)(x-1)) . Its acceleration at a time t is

If displacement x at time t is x=sqrt(1+t^(2)) , then acceleration is