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Variable Acceleration

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Question 168

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=2t3−18t2+48tx = 2t^3 - 18t^2 + 48tx=2t3−18t2+48t

a.

Verify that P P\,P is instantaneously at rest at times t=2t=2t=2 and t=4t=4t=4.

[3]
b.

Verify that the total distance travelled in the first 5 seconds is 56 m.

[5]
Markscheme

Variable Acceleration Questions

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

308 exam-style questions on Edexcel A Level Maths Variable Acceleration, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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