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5.6.1.4Distance–time graphs

AQA GCSE Physics (8463), Higher tier · Forces › Forces and motion › Describing motion along a line

Practise Distance–time graphs. 15 exam-style questions plus unlimited generated ones on this subtopic, at up to four difficulty levels, with full mark schemes and a progress tracker. Free, no account needed.

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Suggest one advantage of this method over a student using a stopwatch and metre rule to record distance manually at intervals.
It records far more, and more precise, data points than manual timing could.
A student walks at a constant speed and covers 350 m in 250 s.
Calculate their speed.
1.4 m/s

Sample questions

Written for this site in the style of AQA exam questions. They are not taken from real past papers.

Question 1Easy3 marks
(a) On a distance–time graph, what does a steeper gradient represent?
Tick (✓) one box.[1]
  • A greater distance
  • A greater speed
  • A longer time
  • A smaller speed
(b) A student walks at a constant speed and covers 350 m in 250 s.
Calculate their speed.[2]
Show the answer and mark scheme
(a) Answer: A greater speed
(b) Answer: 1.4 m/s
  • v = 350 ÷ 250
  • 1.4 (m/s)
Question 2Medium4 marks
A student wants to obtain a distance–time graph for a toy car as it moves across the floor.
(a) Describe how the student could use an ultrasonic position sensor connected to a data logger to obtain a distance–time graph for the car.[3]
(b) Suggest one advantage of this method over a student using a stopwatch and metre rule to record distance manually at intervals.[1]
Show the answer and mark scheme
(a) Answer: Point a position sensor at the car; the data logger records distance at frequent regular intervals and plots it against time automatically.
  • set up the position sensor so that it faces the car and can detect the car throughout its motion
  • the sensor (and data logger) automatically records the car’s distance from the sensor at very short, regular time intervals
  • the data logger (or connected computer) plots this distance and time data directly as a distance–time graph
(b) Answer: It records far more, and more precise, data points than manual timing could.
  • it can record many more data points, much more frequently and precisely, than would be possible by hand, giving a smoother and more detailed graph
Question 3Hard6 marks
Explain how you could use a distance–time graph to determine: (i) whether an object is stationary, moving at a constant speed, or accelerating; (ii) the object’s speed at one instant, if the graph is a curve rather than a straight line.[6]
Show the answer and mark scheme
  • a horizontal line (zero gradient) shows the object is stationary
  • a straight, sloping line (constant, non-zero gradient) shows the object is moving at a constant speed
  • a curved line, where the gradient is changing, shows the object is accelerating (speeding up) or decelerating (slowing down)
  • speed at any point equals the gradient of the graph at that point
  • for a straight-line section, the gradient (and so the speed) can be found directly from any two points on the line: change in distance ÷ change in time
  • for a curved section, a tangent must be drawn to the curve at the instant of interest, and the gradient of that tangent (found using a large triangle) gives the speed at that instant

Marked with levels of response: the full level descriptors are in the app.

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