Problem $5.$ You are programming MATLAB to find out the traveling distance of your car. $(20$ Points$)$

$(1)$ The velocity of your car at time $t[$hour$],v(t)[$mile per hour$],$ is measured like below:

$v(0)=0,v(0\mathrm{.}1)=60,v(0\mathrm{.}2)=70,v(0\mathrm{.}3)=80$

$v(0\mathrm{.}4)=75,v(0\mathrm{.}5)=60,v(0\mathrm{.}6)=60,v(0\mathrm{.}7)=50$

$v(0\mathrm{.}8)=60,v(0\mathrm{.}9)=60,v(1\mathrm{.}0)=70,v(1\mathrm{.}1)=80$

$v(1\mathrm{.}2)=50,v(1\mathrm{.}3)=60,v(1\mathrm{.}4)=50,v(1\mathrm{.}5)=70$

Write a code to estimate the traveling distance of your car. You must use the for$-$loop.