One simple model for a person running the 100 mdash is to assume the sprinter runs...
One simple model for a person running the 100 mdash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line.
If a sprinter reaches his top speed of 11.5 m/sin 2.74 s , what will be his total time?
Homework Answers
SOLUTION :
Initial speed = 0 m/s
Top speed = 11.5 m/s
As top speed is attained at constant acceleration, we can consider average speed
during the acceleration period to determine the distance run.
So,
Distance run in the acceleration period
= average speed * time taken
= (0 + 11.5 / 2 * 2.74
= 5.75 * 2.74
= 15.755 m
So, distance run at top speed of 11.5 m/s
= 100 - 15.755
= 84. 245 m
Time taken to `run at constant top speed
= Distance run / top sped
= 84.245 / 11.5
= 7.33 sec
Total time taken to run 100m race
= time at constant acceleration + time at constant sped
= 2.74 + 7.33
= 10.07 sec (ANSWER).
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One simple model for a person running the 100 mdash is to assume
the sprinter runs...
One simple model for a person running the 100 m dash is to assume the sprinter runs with constant acceleration until reaching top speed, then maintains that speed through the finish line
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