AP Physics C: Mechanics
1.3 Representing Motion
1.2 Displacement, Velocity, and Acceleration
At time \(t = 0\), a car traveling along a straight road at a constant speed \(v_0\) passes a stationary police cruiser. At that same instant, the cruiser begins pursuing the car from rest with an acceleration given by \(a(t) = \beta t\), where \(\beta\) is a positive constant. At the moment the cruiser catches up to the car, what is the speed of the cruiser?
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