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Find specific antiderivatives using initial conditions, including finding velocity functions from acceleration functions, finding position functions from velocity functions and solving applications related to motion along a line.
Examples
Example: A bead on a wire moves so that its velocity, in cm/s, after t seconds, is given by v(t)=3 cos 3t. Given that it starts 2 cm to the left of the midpoint of the wire, find its position after 5 seconds.General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Calculus
Standard: Apply integrals to solve problems.
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
This benchmark is part of these courses.
1202300: Calculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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