A particle is moving along a straight line. The fixed point O lies on this line. The displacement of the particle from O at time t seconds is s metres where s = 2t3 – 12t2 + 7t(a) Find an expression for the velocity, v m/s, of the particle at time t.
To find velocity you differentiate displacement with respect to time
Therefore ds/dt = v = (3x2)t2-(12x2)t2+7
Implying v = 6t2-24t+7
