A particle moves along a line with velocity where is in meters per second and in seconds

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

Problem

A particle moves along a line with velocity

v(t)=\begin{cases}10-4t,&0\le t\le5,\\-10,&5< t\le7,\end{cases}

where

v

is in meters per second and

t

in seconds. Compute the total distance the particle travels from

t=0

t=7\text{ s}