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2 Unit 2: Applied Mathematics A

A particle $P\,$ travels along a straight line through a point $O$ .

At time $t\,$ seconds after passing through $O$ , the displacement of $P\,$ from $O\,$ is $x\,$ metres, where $x = 2t^3 - 18t^2 + 48t$

Find the times at which $P\,$ is instantaneously at rest.

[3]

Find the displacement of $P\,$ from $O\,$ at the later of these two times.

[2]

2 Unit 2: Applied Mathematics A Questions

A particle $P\,$ travels along a straight line through a point $O$ .

At time $t\,$ seconds after passing through $O$ , the displacement of $P\,$ from $O\,$ is $x\,$ metres, where $x = 2t^3 - 18t^2 + 48t$

Find the times at which $P\,$ is instantaneously at rest.

[3]

Find the displacement of $P\,$ from $O\,$ at the later of these two times.

[2]