Motion Graphs Distance-Time
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Motion Graphs Distance-Time — Free MYP3 Sciences Practice Questions

1QuestionDrawing Graphs from DescriptionsConcept Practice
2 marks~3 minCriterion A
The distance-time graph below shows two sections of an object's motion.

Section A is a straight line sloping upward from left to right.
Section B is a horizontal straight line.
a
State what Section B tells you about the motion of the object. [1]
b
Explain how the graph shows that the object was moving faster in Section A than it would be if the line were less steep. [1]
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2QuestionPlotting and Interpreting Distance-Time GraphsAssessment Practice
6 marks~9 minCriterion B
A toy car rolls from a ramp onto three horizontal surfaces. The table shows the distance travelled every 2 seconds.

Time (s)02468
Smooth tile (m)02.04.06.08.0
Carpet (m)01.22.43.64.8
Grass (m)00.61.21.82.4
a
Calculate the speed of the car on carpet. [1]
b
Explain why the car travels more slowly on grass than on smooth tile. [2]
c
The car is tested on sandpaper, which is rougher than grass. Using the data, describe and justify the shape of the distance-time graph you would expect for sandpaper. [3]
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3QuestionMatching Graphs to Real-World ScenariosAssessment Practice
6 marks~9 minCriterion C
A cyclist leaves point P and rides 300 m to point Q at a constant speed of 5 m/s. She stops at Q for 30 seconds, then returns to P at 3 m/s. The vertical axis shows distance from P (m); the horizontal axis shows time (s).
a
Calculate the time taken for the return journey. [1]
b
Explain what the gradient of a distance–time graph represents, and calculate the gradient of each segment of Graph 1. [3]
c
Graph 1, Graph 2, Graph 3, and Graph 4 are described below. Identify which graph correctly represents the cyclist's motion and justify why each of the other three graphs is incorrect, using the terms gradient, speed, and stationary. [2]

Graph 1: rises from (0,0)(0, 0) to (60,300)(60, 300), horizontal from (60,300)(60, 300) to (90,300)(90, 300), falls to (190,0)(190, 0).

Graph 2: rises from (0,0)(0, 0) to (60,300)(60, 300), horizontal from (60,300)(60, 300) to (90,300)(90, 300), falls to (290,0)(290, 0).

Graph 3: rises from (0,0)(0, 0) to (60,300)(60, 300), horizontal from (60,300)(60, 300) to (90,300)(90, 300), falls to (140,0)(140, 0).

Graph 4: rises from (0,0)(0, 0) to (60,300)(60, 300), falls immediately to (160,0)(160, 0) with no horizontal segment.
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4QuestionDrawing Graphs from DescriptionsAssessment Practice
8 marks~12 minCriterion D
A bus leaves a depot from rest, accelerates steadily for 20 s to reach 10 m/s, travels at constant speed for 60 s, then decelerates steadily to a stop over 15 s. After waiting 30 s at a traffic light, it accelerates steadily for 10 s to 8 m/s, travels at constant speed for 40 s, then decelerates steadily to a stop over 10 s.
a
Calculate the distance travelled during each segment of the journey. [3]
b
On the grid provided, draw a distance–time graph for the full journey. Label both axes with quantities and units, and mark the total time and total distance at the final stop. [3]
c
The city council uses this motion model to set the bus timetable. Explain one way in which a real journey might differ from this model and describe one consequence this difference could have for passengers. [2]
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