You are standing on the shoulder of a straight Nevada highway,
a radar gun in your hand, and a Maserati cruising on the highway headed towards you.
You point the radar gun towards the car to measure its speed and,
noticing you, the driver of the Maserati floors it.
The car speeds towards you, past you, and then disappears into the horizon.
The radar gun is equipped with a small computer,
and reports the following model for the Maserati’s speed
during the 12 seconds it was recording data as the car passed.
\[ f(t) = 120 + 2t^2 - \tfrac{1}{12}t^3 \,\,\text{ft/s} \]
How far did the car travel in those twelve seconds?
