The graph at right shows the velocity (in miles per hour) of a car during a road trip. At time t = 0, the car was on the Golden Gate Bridge heading north. Homework Help ✎
Find a function for v(t).
How far north has the car traveled at 3 hours? At 4 hours?
Explain what happened to the car between 3 ≤ t ≤ 5 hours.
Set up an integral to represent the displacement from 0 ≤ t ≤ 6.
Set up an integral to represent the total distance from 0 ≤ t ≤ 6.
Write an equation for each line segment.
Since this is a velocity graph, calculate the area under the curve for the given interval.
For 3 ≤ t ≤ 5, the function values are negative. This is a velocity graph, so what does negative velocity tell you about position?