A running race has a total distance d. The winner runs at a steady speed of v0 and the second place finisher runs at a speed that is 4/5 of the winner’s speed. (a) How much time passes between each runner finishing? (b) The winner didn’t realize they pass the finish line. What is the total distance the winner has ran when the second place finisher finishes? (c) Sketch a single position plot with curves for both runners on it. Draw a horizontal line to represent the finish. Now suppose a swimmer swims the length of a pool, with length L, in some time t0. They then swim the return trip in time 3/5t0. (d) What is the average velocity in the first half of the swim, the second half of the swim, and for the total swim? (e) Same as previous part, but answer for average speed instead.
A running race has a total distance d. The winner runs at a steady speed of v0 and the second place
finisher runs at a speed that is 4/5 of the winner’s speed. (a) How much time passes between each runner
finishing? (b) The winner didn’t realize they pass the finish line. What is the total distance the winner
has ran when the second place finisher finishes? (c) Sketch a single position plot with curves for both
runners on it. Draw a horizontal line to represent the finish.
Now suppose a swimmer swims the length of a pool, with length L, in some time t0. They then swim the
return trip in time
3/5t0. (d) What is the average velocity in the first half of the swim, the second half of
the swim, and for the total swim? (e) Same as previous part, but answer for average speed instead.
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