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2 Unit 2: Applied Mathematics A

The displacement of a particle from $O\,$ is $ms=\left(\dfrac14t^4-2t^3+4t^2\right)\text{ m}$ at time $t\,$ seconds, where $t≥0t\geq0$ .

Find all the times in the interval $0\leq t\leq5\,$ at which the particle is instantaneously at rest.

[4]

Find the total distance travelled during the first 5 seconds.

[4]

2 Unit 2: Applied Mathematics A Questions

The displacement of a particle from $O\,$ is $ms=\left(\dfrac14t^4-2t^3+4t^2\right)\text{ m}$ at time $t\,$ seconds, where $t≥0t\geq0$ .

Find all the times in the interval $0\leq t\leq5\,$ at which the particle is instantaneously at rest.

[4]

Find the total distance travelled during the first 5 seconds.

[4]