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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 $x = t^3 - 15t^2 + 62t$

Find the initial velocity of $P$ .

[3]

Find the value of $t\,$ for which $P\,$ has zero acceleration.

[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 $x = t^3 - 15t^2 + 62t$

Find the initial velocity of $P$ .

[3]

Find the value of $t\,$ for which $P\,$ has zero acceleration.

[2]