At time t = 0 a car has a velocity of 16 m/s.It slows down with an acceleration given by a = -0.50t, in m/s² for t in seconds.At the end of 4.0 s it has traveled: A)0 B)12 m C)14 m D)25 m E)59 m

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Quizplus · Accepted Answer

The velocity function is v(t) = 16 - 0.25t^2. Integrating this from 0 to 4 gives the displacement: ∫(16 - 0.25t^2) dt from 0 to 4 = [16t - (0.25/3)t^3] from 0 to 4 = 59 m.

At Time T = 0 a Car Has a Velocity