A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 37 km/h at the 52-m mark. He then maintains this speed for the next 97 meters before uniformly slowing to a final speed of 31 km/h at the finish line. Determine the maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur?
A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 37 km/h at the 52-m mark. He then maintains this speed for the next 97 meters before uniformly slowing to a final speed of 31 km/h at the finish line. Determine the maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur?
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Transcribed Image Text:A sprinter practicing for the 200-m dash accelerates uniformly from rest at A and reaches a top speed of 37 km/h at the 52-m mark. He
then maintains this speed for the next 97 meters before uniformly slowing to a final speed of 31 km/h at the finish line. Determine the
maximum horizontal acceleration which the sprinter experiences during the run. Where does this maximum acceleration value occur?
Part 1
Answers:
Calculate (a) the magnitude of the tangential acceleration near start of the race and (b) the magnitude of the tangential
acceleration near the end of the race.
(a) |at| =
(b) |at| =
i
Finish line
i
m/s²
39.9 m
m/s²
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