| Exam Board | OCR |
|---|---|
| Module | M1 (Mechanics 1) |
| Year | 2010 |
| Session | January |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Constant acceleration (SUVAT) |
| Type | Two vehicles: overtaking or meeting (algebraic) |
| Difficulty | Moderate -0.3 This is a standard M1 two-particle kinematics problem requiring SUVAT equations to find when speeds are equal and when positions are equal, followed by a routine sketch of displacement-time graphs. While it involves multiple parts and careful algebraic manipulation, it follows a well-practiced template with no novel problem-solving required, making it slightly easier than average. |
| Spec | 3.02d Constant acceleration: SUVAT formulae3.02h Motion under gravity: vector form |
(i) Find the value of $t$ when $A$ and $B$ have the same speed.\\
(ii) Calculate the value of $t$ when $B$ overtakes $A$.\\
(iii) On a single diagram, sketch the $( t , x )$ graphs for the two cyclists for the time from $t = 0$ until after $B$ has overtaken $A$.
\hfill \mbox{\textit{OCR M1 2010 Q5 [11]}}