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Variable Acceleration

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Question 118

A particle P P\,P moves in a straight line such that at t t\,t seconds, t≥0t \geq 0t≥0, its velocity, v ms−1v \text{ ms}^{-1}v ms−1 is given by:

v=12−2t2 v = 12 - 2t^2 v=12−2t2
a.

Show that the displacement, s s\,s metres, of P P\,P from its starting point at time t t\,t seconds is given by

s=12t−23t3 s = 12t - \frac{2}{3}t^3 s=12t−32​t3
[2]
b.

Find the distance travelled by P P\,P in the first second.

[1]
c.

Find the value of t t\,t when P P\,P changes direction of motion.

[2]
d.

Find the value of t t\,t at the instant P P\,P returns to its starting point.

[2]
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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