June 2022 Paper 1 Q1

OCR MEICurrent spec4 marksTime-Series Graphs

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 \((15, 1)\).

Displacement-time graph: s (m) against t (s), straight line segments from (0, -2) to (10, 5) and from (10, 5) to (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]