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1.6 C: Coordinate geometry in the (x, y) plane

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Question 67

A stone is thrown from the edge of a cliff out to sea. Its position t t\,t seconds after being thrown is modelled by

x=12tx = 12tx=12t, y=30−4.9t2y = 30 - 4.9t^2y=30−4.9t2, t≥0 t \geq 0\,t≥0

where x x\,x metres is the horizontal distance from the point of projection and y y\,y metres is the height above sea level.

a.

Find a Cartesian equation for the path of the stone, in the form y=f(x)y = f(x)y=f(x).

[3]
b.

Find the horizontal distance travelled by the stone before it hits the sea, giving your answer to three significant figures.

[3]
c.

State one limitation of this model.

[1]
Markscheme

1.6 C: Coordinate geometry in the (x, y) plane Questions

  1. A Level
  2. /Maths
  3. /1.6 C: Coordinate geometry in the (x, y) plane

143 exam-style questions on AQA A Level Maths 1.6 C: Coordinate geometry in the (x, y) plane, covering 1.6.1 Equation of a straight line, 1.6.2 Coordinate geometry of the circle, 1.6.3 Parametric equations of curves (A-level only), and 1.6.4 Parametric equations in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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