4.04: Velocity-time graph

0606/23/M/J/26 — Question 5 · 8 marks

A particle starts from rest, accelerates uniformly to velocity \(V\) at time \(T\), moves at constant velocity until time \(3T\), and then decelerates uniformly to rest at time \(60\).

(a)

Sketch the velocity-time graph.

[2]

(b)

The acceleration during the first stage is \(1.5\) and the total distance is \(1104\). Find \(T\) and \(V\).

[6]