Solve the problem.Rachel's bus leaves at 6:45 PM and accelerates at the rate of 4 meters per second per second. Rachel, who can run 7 meters per second, arrives at the bus station 2 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time. Determine algebraically whether Rachel will catch the bus. If so, when?
A. Bus: x1 = 2t2, y1 = 1; Rachel: x2 = 7(t - 2), y2 = 3
Rachel won't catch the bus.
B. Bus: x1 = 2t2, y1 = 1; Rachel: x2 = 7(t + 2), y2 = 3
Rachel won't catch the bus.
C. Bus: x1 = 4t2, y1 = 1; Rachel: x2 = (t - 2), y2 = 3
Rachel will catch the bus at 6:49 PM
D. Bus: x1 = 2t2, y1 = 1; Rachel: x2 = 7(t - 2), y2 = 3
Rachel will catch the bus at 6:50 PM
Answer: A
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