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CAPE Applied Mathematics Unit 2 · 2008 (second paper) · Paper 2 · Question 6(a)

A particle is projected from a fixed point with a velocity of 100 m s^-1 at an angle of projection of 30° to the horizontal. Take g = 10 m s^-2.

Calculate the greatest height reached by the first particle.

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Other parts of this question

  1. 6(b)(i)For the first particle, calculate the distance travelled at the end of 5 seconds horizontally.[2 marks]
  2. 6(b)(ii)For the first particle, calculate the distance travelled at the end of 5 seconds vertically.[3 marks]
  3. 6(b)(iii)Hence, determine the value of u cos α.[4 marks]
  4. 6(b)(iv)Hence, determine the value of u sin α.[4 marks]
  5. 6(b)(v)Hence, determine the value of u.[4 marks]
  6. 6(b)(vi)Hence, determine the value of α.[5 marks]

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