Mr. Gauss is known for his indecision! He will often walk down the hallway toward his office, change his mind and turn around, and then turn around again! One time he left class when the bell rang $(t = 0)$ traveling in a path with velocity $v = 3t^2 − 17t + 10$ in feet where t is the number of seconds after the bell rang. After 7 seconds, he arrived at his office.

1. Find the total distance he traveled during the 7 seconds.

   Answer (a):

   $77.870$ feet

2. Assuming he traveled back and forth in a straight line, how far was his classroom from his office?

   Answer (b):

   $3.5$ feet