A particle moving in a straight line describes a distance `x cm` from a fixed point on the line at time `t s,` where `x =t^5-40t^3+30t^2 +180t+240.` Find when the acceleration is minimum and find the minimum value of acceleration.

A particle moving in a straight line describes a distance x cm from a fixed point on the line at time at time t s where x=t^(5)-40t^(3)+30t^(2)+180t+240 . Find when the acceleration is minimum and find the minimum value of acceleration.

A particle moving along a straight line is at a distance S from a point O on the line in time t, where S = t^3-6t^2+8t+5 Find the velocity when the acceleration is 12 cm//sec^2

A particle moves in a straight line such that its distance x from a fixed point on it at any time t is given by x=(1)/(4)t^(4)-2t^(3)+4t^(2)-7 Find the time when its velocity is maximum and the time when its acceleration is minimum .

If a particle moving in a straight line and its distance x cms from a fixed point O on the line is given by x=sqrt(1+t^(2)) cms, then acceleration of the particle at t sec. is

A particle is moving in a straight line its distance from a fixed point on the line at the end of t second is x metres , where x=t^(4)-10t^(3)+24t^(2)+36t-10 When is it moving most slowly ?

A particle is moving in a straight line and its distance x cm from a fixed point on the line at any time t seconds is given by , x=(1)/(12)t^(4)-(2)/(3)t^(3)+(3)/(2)t^(2)+t+15 . At what time is the velocity minimum ? Also find the minimum velocity.

A particle moves in a straight line such that its distance x from a fixed point on it at any time t is given by x=1/4 t^4-2t^3+4t^2-7 . Find the time its velocity is maximum and the time when its acceleration is minimum.