Usain Bolt ran the 2012 Olympic 100-meter race in 9.63 seconds. If he runs at this rate on a road with a speed limit of 25 miles per hour, how will his speed compare to the speed limit? Justify your answer. (25 mi/hr = 40,234 meters/hr)
Answers
40.2 metre /hr = 11.176 m/s
speed of usain bolt = 100/9.63= 10.384m/S
since 11.176>10.384 so
Usain bolt is 11.176-10.384= 0.793m/s short of speed limit
Given : Usain Bolt ran the 2012 Olympic 100-meter race in 9.63 seconds.
He runs at this rate on a road with a speed limit of 25 miles per hour,
(25 mi/hr = 40,234 meters/hr)
To Find : how his speed compare to the speed limit
Solution:
speed limit 25 miles per hour = 40,234 meters/hr
100-meter race in 9.63 seconds.
Distance covered in 9.63 secs = 100m
=> Distance covered in 1 sec = 100/9.63 m
1 hr = 3600 secs
=> Distance covered in 3600 sec = 3600 * 100/9.63 m
=> Distance covered in 1 hr ≈ 37,383.18 m
Hence speed = 37,383.18 m/hr
37,383.18 < 40,234
Hence His speed is less than speed limit
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