Solve the problem.Rachel's bus leaves at 7:15 PM and accelerates at the rate of 4 meters per second per second. Rachel, who can run 8 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, and simulate the motion of the bus and Rachel by simultaneously graphing these equations.

Question

A. Bus: x₁ = 4t², y₁ = 1;
Rachel: x₂ = (t - 2), y₂ = 3

B. Bus: x₁ = 4t², y₁ = 1;
Rachel: x₂ = 8(t - 2), y₂ = 3

C. Bus: x₁ = 2t², y₁ = 1;
Rachel: x₂ = 8(t - 2), y₂ = 3

D. Bus: x₁ = 2t², y₁ = 1;
Rachel: x₂ = 8(t + 2), y₂ = 3

Answer 1

Answer: C