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CAPE Applied Mathematics Unit 2 · 2013 · Paper 2 · Question 6(d)

A bullet fired from a point O with velocity 30\text{ ms}^{-1} at an angle of \alpha to the horizontal passes through a point P(25, 40). Calculate, to the nearest degree, the two possible values of \alpha.

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  1. 6(a)(i)Determine the acceleration, a\text{ ms}^{-2}, of the system.[3 marks]
  2. 6(a)(ii)Determine the tension, T\text{ N}, in the string.[2 marks]
  3. 6(a)(iii)Determine the distance travelled by EACH particle during the first 6 seconds.[3 marks]
  4. 6(b)A ball, of mass 1.5 kg, strikes a smooth vertical wall horizontally with a speed of 7\text{ ms}^{-1} and bounces off it at 5\text{ ms}^{-1}. Calculate the…[4 marks]
  5. 6(c)A particle is projected with a velocity v\text{ ms}^{-1} at an angle of \alpha to the horizontal. If it passes through a point P(x, y), determine the…[5 marks]

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