A particle moves rectilinearly. Its displacement x at time t is given by `x^(2) = at^(2) + b` where a and b are constants. Its acceleration at time t is proportional to

The displacement x of a particle at time t moving along a straight line path is given by x^(2) = at^(2) + 2bt + c where a, b and c are constants. The acceleration of the particle varies as

The displacement x of a particle in rectilinear motion at time t is represented as x^(2) = at^(2) +2bt+c , where a ,b, and c are constants. Show that the acceleration of this particle varies (1)/(x^(3)) .

A point moves such that its displacement as a function of times is given by x^(2)=t^(2)+1 . Its acceleration at time t is

A particle is moving in a straight line. Its displacement at time t is given by s(I n m)=4t^(2)+2t , then its velocity and acceleration at time t=(1)/(2) second are

A particle is moving in a straight line. Its displacement at time t is given by s(I n m)=4t^(2)+2t , then its velocity and acceleration at time t=(1)/(2) second are

The displacement of the particle along a straight line at time t is given by X=a+bt+ct^(2) where a, b, c are constants. The acceleration of the particle is

The displacement of a particle after time is given by x = k/b^2 (1-e^(-bt)) where 'b' is a constant. The acceleration of the particle is

A particle is moving in such a way that its displacement s at time t is given by s=2t^(2)+5t+20 . After 2 second its acceleration is

The displacement of a particle after time t is given by x = (k // b^(2)) (1 - e^(-bi)) . Where b is a constant. What is the acceleration fo the particle ?