Students describe motion from the shape of distance–time and velocity–time graphs, calculate speed from the gradient of a distance–time graph and acceleration from the gradient of a velocity–time graph, and find distance travelled from the area under a velocity–time graph. They calculate average speed for a multi-stage journey and use reaction time and braking data to work out a vehicle's thinking, braking and stopping distances.
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Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.
Completed: Distance–Time and Velocity–Time Graphs
Year 10 students (typically ages 15–16) working on forces & motion. It is pitched at level 3 · challenge.
Yes. The PDF includes a full answer sheet with model answers and success criteria where there is more than one good answer. You can also view the answers online.
About 45 minutes for 16 questions. Short, regular sessions work best: two or three a week beats one long one.
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Try Momentum, Collisions and Vehicle Safety.
Success TutoringWorksheetsYear 10 · Science · Forces & MotionName
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Distance–time: gradient = speed. Velocity–time: gradient = acceleration, area = distance.
On a distance–time graph, the gradient (steepness) is the speed. A straight sloping line means constant speed; a steeper line means a faster speed; a flat line means the object is stopped.
On a velocity–time graph, the gradient is the acceleration, and the area under the line is the distance travelled. A line sloping up means speeding up; sloping down means slowing down; flat means constant velocity.
Gradient = rise ÷ run (change in the y-value ÷ change in time).
A cyclist's distance–time graph has three straight sections: from 0 s to 10 s the line rises from 0 m to 50 m; from 10 s to 20 s it is flat at 50 m; from 20 s to 30 s it rises from 50 m to 150 m.
A car's velocity–time graph: it starts from rest and its velocity rises steadily to 20 m/s in 8 s; it then travels at a constant 20 m/s for 12 s; finally it slows steadily to a stop in 5 s.
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