A world-class sprinter can burst out of the blocks to essentially top speed (of about 14.9m/s) in the first 11.6m of the race. How long does it take her to finish the 200m race?
(200-11.6)/14.9 = ?
To find out how long it takes the sprinter to finish the 200m race, we need to know her constant speed once she reaches top speed. Since the question doesn't provide this information, we have to assume that she maintains her top speed throughout the entire race.
Given that the sprinter reaches a top speed of 14.9 m/s, we can calculate the time it takes her to cover the first 11.6m using the formula:
Time = Distance / Speed
Time = 11.6 m / 14.9 m/s
Time = 0.779 seconds (rounded to 3 decimal places)
Now, to calculate the remaining distance in the race, we subtract the initial 11.6m from the total distance of 200m:
Remaining Distance = 200m - 11.6m
Remaining Distance = 188.4m
Since the sprinter maintains her top speed, we can calculate the time it takes her to cover the remaining distance using the same formula:
Time = Distance / Speed
Time = 188.4m / 14.9 m/s
Time = 12.635 seconds (rounded to 3 decimal places)
Finally, to find the total time for the race, we add the time it took to cover the initial 11.6m to the time it took to cover the remaining 188.4m:
Total Time = 0.779 seconds + 12.635 seconds
Total Time = 13.414 seconds (rounded to 3 decimal places)
Therefore, it takes the sprinter approximately 13.414 seconds to finish the 200m race, assuming she maintains her top speed throughout.