SOLUTION: Nick runs a 100-meter race. 5 seconds after the race started Nick is 45 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race.
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Question 1145620: Nick runs a 100-meter race. 5 seconds after the race started Nick is 45 meters from the starting line and reaches his max speed; he runs at this max speed for the rest of the race. Nick notices that he is 85 meters from the starting line 10 seconds after the race started.
What is Nick's distance from the starting line x seconds after the race started (provided x ≥ 5)? Answer by ikleyn(52803) (Show Source):
The distance d(x) from the starting line x seconds after the race started (provided x >= 5) is
d(x) = 45 + = 45 + 8*(x-5).
It is the standard interpolation/extrapolation linear function, based on given data.
Linear interpolation/extrapolation formula is applicable in this case,
since after 5 seconds Nick runs with uniform speed.
His speed is = = 8 meters per second.
