The position of a train from its home station, $s(t),$ is a function of time where $s$ is

measured in feet and $t$ in seconds. The graph of the velocity of this train is

a$.$ Find the area of the shaded region. Give an exact answer with correct units.

b$.$ Compute the change in the train's position on the time interval $1t3\mathrm{.}5$ seconds. Give an exact.

answer with correct units.

$s=$

c$.$ Discuss the above two results with your study group.