| Exam Board | Edexcel |
|---|---|
| Module | M3 (Mechanics 3) |
| Year | 2014 |
| Session | June |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Simple Harmonic Motion |
| Type | Find amplitude of SHM |
| Difficulty | Standard +0.3 This is a standard SHM question requiring application of standard formulas (ω = 2π/T, a = -ω²x, v_max = ωa) with straightforward substitution. Part (c) requires slightly more thought about distance traveled, but follows a routine approach for M3 level, making it slightly above average difficulty. |
| Spec | 4.10f Simple harmonic motion: x'' = -omega^2 x4.10g Damped oscillations: model and interpret |
\begin{enumerate}
\item A particle $P$ moves in a straight line with simple harmonic motion. The period of the motion is $\frac { \pi } { 4 }$ seconds. At time $t = 0 , P$ is at rest at the point $A$ and the acceleration of $P$ has magnitude $20 \mathrm {~m} \mathrm {~s} ^ { - 2 }$.
\end{enumerate}
Find\\
(a) the amplitude of the motion,\\
(b) the greatest speed of $P$ during the motion,\\
(c) the time $P$ takes to travel a total distance of 1.5 m after it has first left $A$.\\
\hfill \mbox{\textit{Edexcel M3 2014 Q1 [8]}}