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9 marksProjectiles

CAPE Applied Mathematics Unit 2 · 2017 · Paper 2 · Question 5(b)(i)

An object on the edge of a cliff 45 m above the ground is projected with a speed of 20\text{ ms}^{-1} at an angle of 30^\circ to the horizontal.

If air resistance is ignored, determine the time taken for the object to hit the ground.

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Other parts of this question

  1. 5(a)(i)Draw a diagram to illustrate this information, showing the forces acting on the system.[4 marks]
  2. 5(a)(ii)Determine the masses of the particles, A and B.[6 marks]
  3. 5(a)(iii)Calculate the tension, T, in the string.[2 marks]
  4. 5(b)(ii)Show that the distance from the foot of the cliff to the point where the object strikes the ground is x = 5(\sqrt{120} - \sqrt{3})\text{ m}.[4 marks]

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