The acceleration of an object as a function of time is given by a(t) = (3.00 m/s³)t. If the object is at rest at time t = 0.00 s, what is the velocity of the object at time t = 5.00 s? A)15.0 m/s B)37.5 m/s C)0.00 m/s D)12.0 m/s E)75.0 m/s

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Quizplus · Accepted Answer

The velocity is the integral of acceleration with respect to time. Integrating a(t) = (3.00 m/s³)t from 0 to 5 s gives v(t) = (3.00/2)t². Evaluating this at t = 5 s gives v(5) = (3.00/2)(5)² = 37.5 m/s.

The Acceleration of an Object as a Function of Time