An automobile is driven on a straight road, and the distance traveled by the automobile after time is given by the quadratic function , where is measured in feet and is measured in seconds for . Of the following, which gives the best estimate of the velocity of the car, in feet per second, at time ?

An Automobile Is Driven On A Straight Road And The Distance Traveled By The Automobile After Time Is Given By The Quadratic Function Where Is Measured In Feet A class=

Answer :

Answer: s(8)/8

Explanation:

The function representing distance after t seconds is expressed as

s(t)

Thus, the distance travelled by the car in t = 8 is s(8)

Recall, velocity = distance/time

Thus, if

distance = s(8) and time = 8, then

Velocity = s(8)/8