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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 42

A particle P P\,P travels along a straight line through a point O O\,O so that at time t t\,t s after passing through O O\,O its displacement from O O\,O is x x\,x m, where

x=112t2(9t2−16t+6) x = \frac{1}{12}t^2(9t^2 - 16t + 6) x=121​t2(9t2−16t+6)
a.

Find the times when P P\,P is instantaneously at rest.

[5]
b.

Find the total distance travelled by P P\,P in the interval 0≤t≤20 \leq t \leq 20≤t≤2

[3]
Markscheme

4 Unit A2 2: Applied Mathematics (A-level only) Questions

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