AP Physics C: Mechanics
1.3 Representing Motion
1.2 Displacement, Velocity, and Acceleration
A test cart moves along a straight, horizontal track with a velocity given as a function of time by \(v(t) = 3t^2 - 12t + 9\), where \(v\) is in meters per second and \(t\) is in seconds. What is the ratio of the total distance traveled by the cart to the magnitude of its net displacement over the time interval from \(t = 0\text{ s}\) to \(t = 4\text{ s}\)?
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