June 2022 Paper 1 Q1
1 A particle moves along a straight line. The displacement \(s\) m at time \(t\) s is shown in the displacement-time graph below. The graph consists of straight line segments joining the points \((0, -2)\), \((10, 5)\) and \((15, 1)\).

(a) Find the distance travelled by the particle in the first 15 s. [2]
(b) Calculate the velocity of the particle between \(t = 10\) and \(t = 15\). [2]
| Scheme | Marks | AO |
|---|---|---|
| Distance \(2 + 5 + 4\) | M1 | 1.1a |
| \(= 11\) m | A1 | 1.1b |
| [2] |
Notes
M1: adding distances in two or three sections
A1: cao
| Scheme | Marks | AO |
|---|---|---|
| velocity \(= \dfrac{5-1}{10-15}\) | M1 | 1.1a |
| \(v = -0.8\ \mathrm{m\,s^{-1}}\) | A1 | 1.1b |
| [2] |
Notes
M1: Allow sign errors but not wrong way up. Soi
A1: Oe. Mark final answer