Mathematics 9709 · AS & A Level · Momentum

Momentum — practice question

A particle $P$ with mass $0.1\text{ kg}$ is launched vertically upward at $30\text{ m s}^{-1}$ from level ground. At the same moment, a particle $Q$ with mass $0.4\text{ kg}$ is launched vertically upward at $10\text{ m s}^{-1}$ from a point $15\text{ m}$ above the ground. $P$ and $Q$ travel along the same vertical line. When $P$ and $Q$ collide, they stick together.
(a)[4]

Find the height above the ground where $P$ and $Q$ collide.

(b)[5]

Find the speed of the combined particle at the instant that it reaches the ground.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply $s=ut+\frac12at^2$ to both particles

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