The velocity $v ( t )$ of a point P moving on a number line at time $t ( t \geq 0 )$ is
$$v ( t ) = 2 t - 6$$
If the distance traveled by point P from time $t = 3$ to time $t = k$ ($k > 3$) is 25, what is the value of the constant $k$? [4 points]\\
(1) 6\\
(2) 7\\
(3) 8\\
(4) 9\\
(5) 10