At (t=0), car A passes a milepost at constant speed (v_{A}), Car B passes the same milepost
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At \(t=0\), car A passes a milepost at constant speed \(v_{A}\), Car B passes the same milepost at constant speed \(v_{\mathrm{B}}>v_{\mathrm{A}}\) after a time interval \(\Delta t\) has elapsed.
(a) In terms of \(v_{\mathrm{A}}, v_{\mathrm{B}}\), and \(\Delta t\), at what instant does car B catch up to car A?
(b) How far past the milepost does this happen?
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