Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The projectile’s path is given by $y = 0.6x - 0.017x^2$, with the axes taken as horizontal and vertically upward through the point of projection.
(i)[3]

Determine the projectile’s angle of projection, and show that the initial speed is $20\,\text{m s}^{-1}$.

(ii)[7]

Determine the speed and direction of the projectile when it is at a height of $5.2\,\text{m}$ above the level of the point of projection for the second time.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Projection angle: $\theta = \tan^{-1}0.6$

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