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Variable Acceleration

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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]

Variable Acceleration Questions

  1. A Level
  2. /Maths
  3. /Variable Acceleration

Practise Edexcel A Level Maths Variable Acceleration with exam-style questions for A Level Maths. 16 questions covering 11.1 Functions of Time, 11.2 Using Differentiation, 11.3 Maxima and Minima Problems, 11.4 Using Integration, and 11.5 Constant Acceleration Formulae, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank