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Year 12 Specialist (Unit 3 & 4) Modelling motion

Variable forces

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Question 1
163522

A body of mass \(4 \text{kg}\), initially at rest at the origin, is acted on by a force \(F=(4-t)^2 \mathrm{~N}\), where \(0 \leq t \leq 4\) (seconds). Find after \(4\) seconds:
i) the speed of the body.
ii) the distance travelled.

i) \(10 \frac{2}{3} \mathrm{~m} / \mathrm{s}\)
ii) \(32 \mathrm{~m}\)

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