Question

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.
a. Simulate the game in a viewing window with t starting at 0. Graph
simultaneously.
b. Who captures the flag and by how many feet?

Answer 1

Faster runner takes 10.1 seconds via R(runner1)  =  v*distance  + 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