Calculating Distance Traveled: Police Chase Scenario

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Homework Statement



A car traveling at a constant speed of 129 km/hr passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets in a chase after the car with a constant acceleration of 2.7 m/s2. How far does the trooper travel before he overtakes the speeding car?



Homework Equations



d= v(initial)t + .5at^2


The Attempt at a Solution



d= 35.83m/s(t) + .5(2.7)(t)^2 + 35.83

I don't understand what needs done, thanks
 
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What is the position of the trooper at time t?

What's the position of his target at time t?

When are they in the same place?