| Exam Board | Edexcel |
|---|---|
| Module | M1 (Mechanics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Vectors Introduction & 2D |
| Type | Velocity from two position vectors |
| Difficulty | Easy -1.2 This is a straightforward M1 kinematics question requiring only basic vector operations: magnitude calculation using Pythagoras, speed = distance/time, and velocity = displacement/time. All three parts are direct applications of standard formulas with no problem-solving or conceptual challenge beyond routine recall. |
| Spec | 1.10c Magnitude and direction: of vectors1.10d Vector operations: addition and scalar multiplication1.10h Vectors in kinematics: uniform acceleration in vector form |
| Answer | Marks | Guidance |
|---|---|---|
| (a) \(AB^2 = 12.25 + 144 = 156.25\) | \(AB = 12.5 \text{ m}\) | M1 A1 |
| (b) \(12.5 \div 5 = 2.5 \text{ ms}^{-1}\) | B1 B1; M1 A1 | |
| (c) \((0.7\text{i} - 2.4\text{j}) \text{ ms}^{-1}\) | B1 B1; M1 A1 |
(a) $AB^2 = 12.25 + 144 = 156.25$ | $AB = 12.5 \text{ m}$ | M1 A1
(b) $12.5 \div 5 = 2.5 \text{ ms}^{-1}$ | | B1 B1; M1 A1
(c) $(0.7\text{i} - 2.4\text{j}) \text{ ms}^{-1}$ | | B1 B1; M1 A1 | **6 marks**A bee flies in a straight line from $A$ to $B$, where $\overrightarrow{AB} = (3\mathbf{i} - 12\mathbf{j})$ m, in 5 seconds at a constant speed. Find
\begin{enumerate}[label=(\alph*)]
\item the straight-line distance $AB$, [2 marks]
\item the speed of the bee, [2 marks]
\item the velocity vector of the bee. [2 marks]
\end{enumerate}
\hfill \mbox{\textit{Edexcel M1 Q1 [6]}}