Solve the problem.Rachel's bus leaves at 7:25 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 8 meters per second, arrives at the bus station 3 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 = t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel will catch the bus at 7:30 PM
B. Bus: x1 = t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel won't catch the bus.
C. Bus: x1 = 3t2, y1 = 2; Rachel: x2 = 4(t - 3), y2 = 4
Rachel will catch the bus at 7:29 PM
D. Bus: x1 = t2, y1 = 2; Rachel: x2 = 8(t + 3), y2 = 4
Rachel won't catch the bus.
Answer: B
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