Question

A car is driven on a straight road, and thedistance traveled by the car after time t=0 is given by the quadratic function S, where s(t)is measured in feet and t is measured inseconds for 0 < t < 12. Of the following,which gives the best estimate of the velocity ofthe car, in feet per second, at time t=6?

Answer 1

Given:

$0\leq t\leq12$

Then, the velocity when t = 6

This type of velocity is referred to as an instantaneous velocity. In this case, it is calculated using:

$velocity=\frac{distance\text{ at 8 second}}{time}$

Given that:

s(t) models the distance

s(6) = distance at 6 seconds

Therefore:

$Velocity=\frac{s(6)}{6}$

Answer:

$\frac{s(6)}{6}$