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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) Some materials within this document are republished with permission from CAIE. 11 AS MATHS WITH MECHANICS ASSIGNMENT 08 c. the displacement of \( P \) from \( A \) when \( t=20 \).

          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)
Some materials within this document are republished with permission from CAIE.
11
AS MATHS WITH MECHANICS ASSIGNMENT 08
c. the displacement of \( P \) from \( A \) when \( t=20 \).

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 αms^-2 for 10 s. For 10 ≤ t ≤ 20, P continues to move along the line with velocity v m s^-1, where v=(300)/(t^2)-2. Find:
a. the speed of P when t=10, and the value of α,
(2 marks)
b. the value of t for which the acceleration of P is -αms^-2,
(4 marks)
Some materials within this document are republished with permission from CAIE.
11
AS MATHS WITH MECHANICS ASSIGNMENT 08
c. the displacement of P from A when t=20.

Added by Wesley D.

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