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2 Unit 2: Applied Mathematics A

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Question 78

A particle P P\,P moves along the xxx-axis.

At time t t\,t seconds, t≥0t \geq 0t≥0, the acceleration of P P\,P is (6t−24)(6t - 24)(6t−24) m s−2^{-2}−2 measured in the positive x x\,x direction.

Initially P P\,P is at the origin O O\,O and is moving with velocity 60 m s−1^{-1}−1 in the positive x x\,x direction.

a.

Show that P P\,P never moves in the negative x x\,x direction.

[4]
b.

Find the distance travelled by P P\,P in the first 10 seconds.

[3]
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2 Unit 2: Applied Mathematics A Questions

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

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