The graph above gives the velocity, \(v\), in ft/sec, of a car for \(0\leq t\leq 8\), where \(t\) is the time in seconds.
Of the following, which is the best estimate of the distance traveled by the car from \(t=0\) until the car comes to a complete stop?
The distance traveled by the car is:
$$ \int \limits_0^8 v(t)   dt $$
Estimate the area under the curve:
The shading above shows a sample estimation. Each rectange has an area of \(10\), corresponding to \(10\) feet.
With approximately \(9\) rectangles, we get a distance traveled of \(\boxed{ 90 \text{ ft}}\).