| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2009 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | SUVAT in 2D & Gravity |
| Type | Vertical projection: speed of projection |
| Difficulty | Moderate -0.8 This is a straightforward SUVAT question requiring basic knowledge that time to peak is half the total flight time, and using either v² = u² + 2as or recognizing that average velocity × time = displacement. The velocity-time graph is a standard linear graph crossing the time axis. Requires only routine application of kinematic equations with no problem-solving insight. |
| Spec | 3.02b Kinematic graphs: displacement-time and velocity-time3.02d Constant acceleration: SUVAT formulae3.02h Motion under gravity: vector form |
| Answer | Marks | Guidance |
|---|---|---|
| Working/Answer | Marks | Guidance |
| Velocity-time graph showing correct shape (triangle with peak \(u\) and trough \(-u\), duration 4) | B1 | shape |
| Correct values on axes | B1 | values (2) |
| Answer | Marks | Guidance |
|---|---|---|
| Working/Answer | Marks | Guidance |
| \(19.6 = \frac{1}{2} \times 2 \times u\) | M1 A1 | |
| \(u = 19.6\) | A1 | (3) [5] |
## Question 2:
### Part (a):
| Working/Answer | Marks | Guidance |
|---|---|---|
| Velocity-time graph showing correct shape (triangle with peak $u$ and trough $-u$, duration 4) | B1 | shape |
| Correct values on axes | B1 | values **(2)** |
### Part (b):
| Working/Answer | Marks | Guidance |
|---|---|---|
| $19.6 = \frac{1}{2} \times 2 \times u$ | M1 A1 | |
| $u = 19.6$ | A1 | **(3) [5]** |
---2. A small ball is projected vertically upwards from ground level with speed $u \mathrm {~m} \mathrm {~s} ^ { - 1 }$. The ball takes 4 s to return to ground level.
\begin{enumerate}[label=(\alph*)]
\item Draw, in the space below, a velocity-time graph to represent the motion of the ball during the first 4 s .
\item The maximum height of the ball above the ground during the first 4 s is 19.6 m . Find the value of $u$.
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 2009 Q2 [5]}}