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CAPE Physics Unit 1 · 2019 · Paper 2 · Question 1(c)

A projectile is launched at an angle of 45° to the horizontal and hits an object at a horizontal distance of 18 m from the point of projection. The launcher height is 0.5 m.

Determine the height of the object.

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Other parts of this question

  1. 1(a)(i)Write an expression for the horizontal distance travelled.[2 marks]
  2. 1(a)(ii)Write an expression for the vertical distance travelled.[3 marks]
  3. 1(a)(iii)Combine the expressions in (a)(i) and (a)(ii) to obtain an equation for the trajectory and hence deduce that the motion is parabolic.[5 marks]
  4. 1(b)(i)Complete Column 3 in Table 1.[2 marks]
  5. 1(b)(ii)On the grid provided in Figure 2 on page 9, plot a graph of H versus sin²θ. Draw the line of best fit through the points.[4 marks]
  6. 1(b)(iii)Determine the gradient of the graph in (b)(ii).[3 marks]
  7. 1(b)(iv)Hence, calculate the initial velocity of the projectile.[3 marks]
  8. 1(d)Sketch a velocity-time graph of its motion.[3 marks]

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