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Two opposing players in “Capture the Flag” are 100 feet apart. On a signal, they

run to capture a flag that is on the ground midway between them. The faster

runner, however, hesitates for 0.1 second. Find parametric equations that model

the race to the flag. The faster runner’s speed is 10 fps and the other runner is 9

fps.

ASimulate the game in a viewing window with t starting at 0. Graph

simultaneously.

BWho captures the flag and by how many feet?

Verified Answer :

Faster runner takes 10.1 seconds via R(runner1)  =  vdistance  + hestitation time

slower runner, r = v
d +  0 

The time that needed by slower runner is 11.11

Multiply it by 9 fps to see how close the runner is, take that number from 100 feet and you have (100 - 90.9) = 9.1

hope this helps