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

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Question 159

A particle moves in a straight line. Its acceleration a m s−2a\text{ m s}^{-2}a m s−2 is modelled by a=4t−t2a=4t-t^2a=4t−t2 for 0≤t≤30\leq t\leq30≤t≤3, and by a=−3a=-3a=−3 for 3<t≤63<t\leq63<t≤6. The particle starts from rest at the origin. The velocity is continuous at t=3t=3t=3.

a.

Find the velocity for 0≤t≤30\leq t\leq30≤t≤3.

[3]
b.

Find the velocity for 3<t≤63<t\leq63<t≤6.

[3]
c.

Find the total distance travelled in the first 6 seconds.

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

  1. A Level
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