Decide Whether the Following Problem Can Be Solved Using Precalculus $v ( t ) = 8 + 6 \cos t$

Decide whether the following problem can be solved using precalculus, or whether calculus is required. If the problem can be solved using precalculus, solve it. If the Problem seems to require calculus, use a graphical or numerical approach to estimate the Solution. Find the distance traveled in 20 seconds by an object moving with a velocity of $v ( t ) = 8 + 6 \cos t$ feet per second.

A) calculus, $162.4485 \mathrm { ft }$
B) precalculus, $163.7985 \mathrm { ft }$
C) calculus, $165.4777 \mathrm { ft }$
D) precalculus, $165.4777 \mathrm { ft }$
E) precalculus, $162.4485 \mathrm { ft }$