Solution: Let s_A=15 t^2+10 t+20 and s_B=5 t^2+40 t, t ≥q 0, be the position functions of cars A and B that are moving along parallel straight lanes
Question: Let \(s_{A}=15 t^{2}+10 t+20\) and \(s_{B}=5 t^{2}+40 t, t \geq 0\), be the position functions of cars \(A\) and \(B\) that are moving along parallel straight lanes of a highway.
- How far is car \(A\) ahead of car \(B\) when \(t=0 ?\)
- At what instants of time are the cars next to one another?
- At what instant of time do they have the same velocity? Which car is ahead at this instant?
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