A circular track has a radius of 35 m. A runner goes exactly halfway round…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A circular track has a radius of . A runner goes exactly halfway round. Find her distance and her displacement. Use .
Need a reminder? The key ideaShow
Distance is the length of the whole path; it has no direction and never decreases. Displacement is the straight line from start to end, with a direction. On a straight road use signs; for a right-angle turn, displacement .
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. Distance. .
Step 2. Displacement. The diameter, .
Answer: ; across the track.
Check. The straight line across is shorter than the curved path round.
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