Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
Particle P, of mass $0.4\,\text{kg}$, is initially at rest at point A on a rough horizontal surface. A horizontal force of magnitude $0.6t\,\text{N}$ acts on P in the direction away from A, where $t\,\text{s}$ denotes the time after P is placed at A. The coefficient of friction between A and the surface is $0.3$, and at time $t\,\text{s}$ the displacement of P from A is $x\,\text{m}$.
(i)[3]
Show that P begins to move at $t = 2$. Also show that, while P is moving, its acceleration is $(1.5t - 3)\,\text{m s}^{-2}$.
(ii)[4]
Write down the velocity of P as a function of $t$, for $t \ge 2$.
(iii)[3]
Write $x$ in terms of $t$, for $t \ge 2$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct time $t=2$ found” …