Question

Runner A starts a 100-meter race from rest. Runner A accelerates at a constant rate over...

Runner A starts a 100-meter race from rest. Runner A accelerates at a constant rate over the first 20.0 meters reaching a speed of 8.00 m/s which is unchanged for the rest of the race. Runner B has a position vs. time function of x(t)=1.25t2 for the first 3.00 seconds of the race, and runs the rest of the race with a position vs time function of x(t)=7.50t (where x is given in meters when t is entered in seconds for both functions). Both runners start the race at the same time, at the same place, and both eventually arrive at the finish line.

If the time keeping ability of the race officials is limited to an accuracy of three-significant figures, which runner wins this race?

(A) Runner A

(B) Runner B

(C) Neither, it's a tie!

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