Example 1: Choosing a distance–time graph
June 2021 · Paper 1P · Question 4(b)
Question 1
The diagram shows a velocity-time graph for a car from the time the driver sees an obstacle in the road until the car comes to rest.
Which of these represents the distance-time graph for the car?
Final answer
A. The distance increases throughout, first at a constant rate and then at a decreasing rate until the car stops.
Mark scheme points
- M1 Select option A.
Explanation
The gradient of a distance–time graph represents speed. The car moves at constant speed at first, so the graph rises steadily. As the car decelerates, its speed and the graph’s gradient decrease. When the car stops, the graph becomes horizontal.
Common mistakes
- Do not choose a straight rising graph for the whole journey: that would show constant speed, not deceleration.
- The distance should not jump suddenly, and it should keep increasing while the car is moving.