AS MATHS WITH MECHANICS ASSIGNMENT 08
8. A particle \( P \) starts from rest at the point \( A \) at time \( t=0 \), where \( t \) is in seconds, and moves in a straight line with constant acceleration \( \alpha \mathrm{m} \mathrm{s}^{-2} \) for \( 10 \mathrm{~s} \). For \( 10 \leq t \leq 20, P \) continues to move along the line with velocity \( v \mathrm{~m} \mathrm{~s}^{-1} \), where \( v=\frac{300}{t^{2}}-2 \). Find:
a. the speed of \( P \) when \( t=10 \), and the value of \( \alpha \),
(2 marks)
b. the value of \( t \) for which the acceleration of \( P \) is \( -\alpha \mathrm{m} \mathrm{s}^{-2} \),
(4 marks)
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AS MATHS WITH MECHANICS ASSIGNMENT 08
c. the displacement of \( P \) from \( A \) when \( t=20 \).
