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4 marksProjectiles

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

One second later another particle is projected from the same point with a velocity u m s^-1 at an angle of projection α to the horizontal. After travelling for 4 seconds, this particle collides with the first particle.

Hence, determine the value of u.

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Other parts of this question

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

More practice: the rest of this paper · more Projectiles questions · all CAPE Applied Mathematics Unit 2 past papers