Mathematics AI: QUADRATICS Topical Past Paper Questions

[Maximum mark: 16] Jenny designs a flexible suspension bridge, spanning 10 metres over the Swinburne Creek. Jenny believes that when no people are on the bridge, the height, y, of the walkway on the bridge above the creek can be modelled by $$ y=ax^{2}+bx+c\text{for}0\leq x\leq10…

[Maximum mark: 9] The diagram shows the curve with equation $ y_{k}=kx^{2}-x $, k>0, which intersects the x-axis at the origin and at the point $ A_{k}\left(\frac{1}{k},0\right) $. The normal to the curve at $A_{k}$ intersects the curve again at point $B_{k}$. (a) Show that the x…

## [Maximum mark: 9] A sports player on a horizontal athletic field hits a ball. The height of the ball above the field, in metres, after it is hit can be modelled using a quadratic function of the form $ f(x) = ax^2 + bx + c $, where x represents the horizontal distance, in metr…