Distance Travelled by a Car Over 4 Hours

A student is analyzing a linear function that represents the distance, $d$, in miles, traveled by a car after $t$ hours. The equation of the line is given by d = 60t, which implies that the car is traveling at a constant speed of 60 miles per hour.

If the student wants to determine the total distance traveled by the car after 4 hours, they can substitute the value of $t$ into the equation. Additionally, if the car started from a rest position but gained speed due to acceleration over time defined by the equation v = 15t (where $v$ is the speed in miles per hour), the student is interested in figuring out the relationship between this acceleration and the distance formula.

What is the distance traveled by the car after 4 hours?