(i)[6]
Show that $\frac{dv}{dt} = 10 - 0.2v$. Then determine $v$ as a function of $t$.
(ii)[4]
Since the ball reaches the ground at $t = 2$, calculate $h$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A ball with mass $0.05\,\text{kg}$ is let go from rest from a point $h\,\text{m}$ above the ground. At time $t\,\text{s}$ after release, its downward velocity is $v\,\text{m s}^{-1}$. A resistive force from the air acts opposite to the motion, with magnitude $0.01v\,\text{N}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use Newton’s Second Law: $0.05\frac{dv}{dt} = 0.05g - 0.01v$” …
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