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4.6 Integration (A-level only)

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Question 34

A particle slides down a smooth plane inclined at an angle α \alpha\,α to the horizontal, where sin⁡α=35\displaystyle \sin\alpha=\frac35sinα=53​. The particle experiences a resistive force of magnitude mv mv\,mv N, where m m\,m kg is its mass and v v\,v m s−1^{-1}−1 is its speed. Initially v=2v=2v=2 m s−1^{-1}−1.

Take down the plane as positive.

a.

Form a differential equation for vvv.

[2]
b.

Solve the differential equation to find v v\,v in terms of t t\,t and ggg.

[3]
c.

Find the limiting speed.

[1]
Markscheme

4.6 Integration (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.6 Integration (A-level only)

91 exam-style questions on WJEC A Level Maths 4.6 Integration (A-level only), covering 4.6.1 Integration (A-level only) and 4.6.2 Integration (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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