4400 Higher June 2004 Paper 3 Q13

EdexcelHigherOld spec4 marksDifferentiation

13 A body is moving in a straight line which passes through a fixed point \(O\).
The displacement, \(s\) metres, of the body from \(O\) at time \(t\) seconds is given by

\[s = t^3 + 4t^2 - 5t\]
(a) Find an expression for the velocity, \(v\) m/s, at time \(t\) seconds. (2)
(b) Find the acceleration after 2 seconds. (2)