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6 marksKinematics and Dynamics

CAPE Applied Mathematics Unit 2 · 2014 · Paper 2 · Question 6(c)

Particle P on the x-axis has acceleration (3t + 5) ms⁻² for t ≥ 0. At t = 0, v = 2 ms⁻¹. At t = T, v = 6 ms⁻¹.

Find the value of T.

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Other parts of this question

  1. 6(a)Formulate the equation of the trajectory of a projectile.[4 marks]
  2. 6(b)(i)Show that 20 tan² α – 90 tan α + 16 = 0.[2 marks]
  3. 6(b)(ii)Hence, find to the nearest degree, the TWO possible values of α.[5 marks]
  4. 6(b)(iii)Find, to the nearest second, the MINIMUM possible time of flight from A to B.[3 marks]
  5. 6(d)Find the velocity of the particle when s = 3.[5 marks]

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