A car traveling at a constant speed of $34\mathrm{.}0\frac{m}{s}$ passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of $4\mathrm{.}00\frac{m}{s^2}.$ How long does it take the trooper to overtake the speeding car? Solve this problem by a graphical method. On the same graph, plot position versus time for the car and the trooper.

$y(m)$

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