Four distance-time graphs are drawn on the same scale.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Four distance-time graphs are drawn on the same scale.
Match each to a graph: (1) a parked car; (2) a cyclist at a steady ; (3) a cyclist at a steady ; (4) a car starting from a signal and speeding up.
Need a reminder? The key ideaShow
On a distance-time (or position-time) graph the slope is the velocity. On a velocity-time graph the slope is the acceleration and the area under the line is the distance.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The parked car is B: flat line.
Step 2. The cyclist is D, the less steep straight line.
Step 3. The cyclist is C, the steeper straight line.
Step 4. The car speeding up is A: the line curves upward.
Answer: 1 B, 2 D, 3 C, 4 A.
Check. In the same time C covers twice the distance of D, as is twice .
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