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2 Unit 2: Applied Mathematics A

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Question 4
29%

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=3t+5−2t2 v = 3t + 5 - 2t^2 v=3t+5−2t2
a.

Find the value of t t\,t at the point when P P\,P stops accelerating.

[4]
b.

Find the distance of P P\,P from O O\,O at the instant when P P\,P changes its direction of motion.

[5]
Markscheme

2 Unit 2: Applied Mathematics A Questions

  1. A Level
  2. /Maths
  3. /2 Unit 2: Applied Mathematics A

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