Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Particle $P$ is launched from point $O$ on horizontal ground with speed $20\text{ m s}^{-1}$ at an angle of $40^\circ$ above the horizontal.
(i)[2]

Determine the height of $P$ above the ground at the instant when its speed is $18\text{ m s}^{-1}$.

(ii)[6]

Calculate how long the speed of $P$ stays below $18\text{ m s}^{-1}$, and find the horizontal distance travelled by $P$ in that time.

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