MULTISTEP A car traveling at a constant speed of 20 m/s

Chapter , Problem 55

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Multistep  A car traveling at a constant speed of \(20 \mathrm{~m} / \mathrm{s}\) passes an intersection at time t=0. A second car traveling at a constant speed of \(30 \mathrm{~m} / \mathrm{s}\) in the same direction passes the same intersection \(5.0 \mathrm{~s}\) later.

(a) Sketch the position functions \(x_1(t)\) and \(x_2(t)\) for the two cars for the interval \(0 \leq t \leq 20 \mathrm{~s}\).

(b) Determine when the second car will overtake the first.

(c) How far from the intersection will the two cars be when they pull even?

(d) Where is the first car when the second car passes the intersection?

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