MA.912.C.5.1

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.