4.02: Acceleration, displacement and distance
In this question time \(t\) is in seconds and displacement \(s\) is in metres. For \(t\geqslant0\), a particle moves on the positive \(x\)-axis. At time \(t\) the acceleration of the particle is \(2t-9\). At time \(t=7\) the velocity of the particle is \(4\).
(a)[4]
Find the times when the velocity of the particle is \(0\).
See the official mark scheme below.
(b) (i)[3]
At time \(t=12\), the displacement of the particle from the origin \(O\) is \(150\). Find an expression for the displacement of the particle at time \(t\).
See the official mark scheme below.
(b) (ii)[3]
Find the distance travelled by the particle in the first \(6\) seconds.
See the official mark scheme below.
