Homer Simpson lies directly in the path of the flame-spewing juggernaut, with only the meager acceleration of the family station wagon standing between him and utter destruction.
Assume Homer's velocity (in feet per second) is given by the equation:
where t is measured in seconds and . Answer the following questions based on the given information, accurate to the thousandths place.
(a) Is Homer traveling backwards at any time during the first 7 seconds of his escape attempt? If so, during what time interval(s) is the gear shift in reverse?
(b) What is Homer's average velocity from t = 2 to t = 5?
(c) At what time(s) does Homer change from accelerating to decelerating, or vice versa?
This is a calculus problem involving velocity and acceleration.