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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 72

The position vector of a particle at time t t\,t seconds is r=(t3−6t2+9t)i+(2t2−8t)j\mathbf r=(t^3-6t^2+9t)\mathbf i+(2t^2-8t)\mathbf jr=(t3−6t2+9t)i+(2t2−8t)j metres.

a.

Show that the velocity and acceleration are perpendicular when t=2t=2t=2.

[4]
b.

Find all the other positive times at which the velocity and acceleration are perpendicular.

[5]
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4 Unit A2 2: Applied Mathematics (A-level only) Questions

  1. A Level
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