Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ is projected at a speed of $20\,\text{m s}^{-1}$, making an angle of $60^\circ$ below the horizontal, from a point $O$ that is $30\,\text{m}$ above level ground.
((i))[3]

Calculate the time for $P$ to reach the ground.

(i)[3]

Calculate how long $P$ takes to reach the ground.

(ii)[4]

Calculate the speed of $P$ just before it reaches the ground and the direction of motion.

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