$94\%$

MAC$2311+24$F$+$T$3...$

Khan Academy Unit $3...$

MAC$2311+24$S$+$T$3+01$

$5.[10$ points$]$ Answer these questions about determining distance traveled from velocity.

A robin is flying around and its velocity $v$ as a function of time $t$ is given given in the graph below where rightwards is the positive velocity direction.

What is the robin's total change in position on the time interval $0t4?$

${\displaystyle \underset{0}{\overset{4}{}}}v(t)dt=A_1+A_{2}t{A}_2=7m$

What is the robin's average velocity on the time interval $0t4?$

$\frac{s}{t}=\frac{7m}{4s}=\frac{7}{4}ms$

What is the robin's total distance traveled on the time interval $0t4?$

${\displaystyle \underset{0}{\overset{4}{}}}|v(t)|dt=|A_1|+|A_2|+|A_3|=9m$

What is the robin's average speed on the time interval $0t4?$

$\frac{q_m}{vs}=\frac{9}{4}\frac{m}{s}$

Suppose the robin's initial position is $s(0)=1.$ Sketch a graph of $y=s(t)$ on the axes provided above.