A particle moves $on$ a straight$-$line path that passes through the points $A=(2,5,-7)$ and $B=$

$(-1,3,-8).$ Find a vector$-$valued function for the path.

$(8$ points$)$

A glider has acceleration vector vec$(a)=($:$2cost,-2sint,5$:$).We$ also know that initially the glider

departed from the point $(4,4,1)$ with velocity vec$(v)=($:$2,1,2$:$).$ Find the glider's position $as$ a function

$of$ time.

$(12$ points$)$