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3.2.6 Non-uniform acceleration in one dimension (A-level only)

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Question 14

A particle P P\,P travels along a straight line such that at time t t\,t seconds, t≥0t \geq 0t≥0, after leaving the point O O\,O on the line, the velocity of PPP, v v\,v ms−1^{-1}−1, is modelled as

v=16+6t−t2 v = 16 + 6t - t^2 v=16+6t−t2
a.

the magnitude of the acceleration of P P\,P when P P\,P is at instantaneous rest,

[5]
b.

Find the total distance travelled by P P\,P in the interval 0≤t≤50 \leq t \leq 50≤t≤5

[3]

3.2.6 Non-uniform acceleration in one dimension (A-level only) Questions

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