The velocity of a particle moving in a straight line after t t\,t seconds is given by v=(6t−2)v = (6t - 2)v=(6t−2) m s−1^{-1}−1.
After 5 seconds the displacement of the particle from a fixed point O O\,O on the line is 75 metres.
Find an expression for the displacement of the particle from O O\,O at time ttt.
Find the displacement of the particle from O O\,O after 10 seconds.