3.112: Displacement s=(t−4)(t−1)s=(t-4)(t-1); motion graphs

0606/22/M/J/25 — Question 2 · 10 marks

(a)
A particle PP has displacement s=(t−4)(t−1)s=(t-4)(t-1) for t⩾0t\geqslant 0. Sketch the displacement–time graph, stating the intercepts.
[2]
(b)
Find an expression for the velocity vv in factorised form.
[2]
(c)
Sketch the velocity–time graph, stating the intercepts.
[2]
(d)
Find an expression for the acceleration aa.
[1]
(e)
Sketch the acceleration–time graph, stating the intercepts.
[3]