The position of the front bumper of a test car under

Chapter 2, Problem 2.18

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The position of the front bumper of a test car under microprocessor control is given by \(x(t) = 2.17 \ \mathrm m + (4.80 \ \mathrm {m/s}^2)t^2 - (0.100 \ \mathrm {m/s}^6)t^6\) . (a) Find its position and acceleration at the instants when the car has zero velocity. (b) Draw \(x-t, v_{x}-t\), and \(a_{x}-t\) graphs for the motion of the bumper between t = 0 and t = 2.00 s.

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