A particle is initially at rest and begins to accelerate to the right as 13t-t^2  m/s. How far does the particle move in 3 seconds?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 7P: Find the instantaneous velocity of the particle described in Figure P2.1 at the following times: (a)...
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A particle is initially at rest and begins to accelerate to the right as 13t-t^2  m/s. How far does the particle move in 3 seconds? 

the instructor told me I had to integrate, the velocity is not constant.

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