A particle moves along a straight line such that its displacement at any time t is given by S = t3 – 6t2 + 3t + 4 metres. The velocity when the acceleration is zero is :4 ms–1– 12 ms–1 42 ms–1– 9 ms–1

The displacement of a particle starting from rest a t = 0 is given byS=6t2–t3. The time in seconds at which the particle will attain zero velocity is  (a) 8s (b) 6s (c) 4s (d) 3s

The motion of a particle along a straight line is described by equation :38 12x t t   where x is in metre and t in second. The retardation of the particlewhen its velocity becomes zero is

A particle P is moving along a straight line through the fixed point O.The displacement, s metres, of P from O at time t seconds is given bys = t 3 – 27t + 55 t . 0(a) Write down the distance, in metres, of P from O when t = 0(1)(b) Find an expression, in terms of t, for the velocity, v m/s, of P at time t seconds.(2)(c) Find the value of t when P is closest to O.(2)(d) Find the distance, in metres, of P from O when P is closest to O.(1)(e) Find the distance, in metres, travelled by P in the interval 0 - t - 5(3)..................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

The displacement of a particle moving in a straight line is described by the relation 𝑆=6+12𝑡−2𝑡2. Here S in meter and t is in sec. The distance covered by the particle in first 5s is

A particle moves along a line with a velocity v(t)=t2+3t−4, measured in meters per second. Find the total distance the particle travels from t=0 seconds to t=2 seconds.