OCR MEI Paper 1 2020 November — Question 5

Exam BoardOCR MEI
ModulePaper 1 (Paper 1)
Year2020
SessionNovember
TopicSUVAT & Travel Graphs

5 A child is running up and down a path. A simplified model of the child's motion is as follows:
  • he first runs north for 5 s at \(4 \mathrm {~m} \mathrm {~s} ^ { - 1 }\);
  • he then suddenly stops and waits for 8 s ;
  • finally he runs in the opposite direction for 7 s at \(3.5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\).
    1. Taking north to be the positive direction, sketch a velocity-time graph for this model of the child's motion.
Using this model,
  • calculate the total distance travelled by the child,
  • find his final displacement from his original position.