A point moves in a straight line so that its displacement x metre at a time t second is such that t=(x^2 −1) ^1/2 . Its acceleration in m/s^2 at time t second is:

A point mives in a straight line so its displacement x mertre at time t second is given by x^(2)=1+t^(2) . Its aceleration in ms^(-2) at time t second is .

A particle moves along a straight line such that its displacement at any time t is given by s = 3t^(3)+7t^(2)+14t + 5 . The acceleration of the particle at t = 1s is

A partical is moving in a straight line such that its displacement at any time t is given by s=4t^(3)+3t^(2) . Find the velocity and acceleration in terms of t.

A particle moves along a staight line such that its displacement at any time t is given by s=t^3-6t^2+3t+4m . Find the velocity when the acceleration is 0.

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 along a straight line such that its displacement x and time t are related as follows: x^(2)=1+t^(2) Show that acceleration of the particle can be represented as: a=(1)/(x)-(t^(2))/(x^(3)) .

A point moves such that its displacement as a function of time is given by x^3 = r^3 + 1 . Its acceleration as a function of time t will be

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

A particle moves along a straight line such that its displacement s at any time t is given by s=t^3-6t^2+3t+4m , t being is seconds. Find the velocity of the particle when the acceleration is zero.