The velocity (in meters per second) of a particle moving along a line is for

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

The velocity (in meters per second) of a particle moving along a line is

v(t)=t^{2}-6t+5

for

0\le t\le 7

, where

t

is measured in seconds. Compute the particle’s net displacement and its total distance traveled over this interval.