### Home > APCALC > Chapter 3 > Lesson 3.3.4 > Problem 3-139

3-139.

The velocity of a roller coaster car in meters per second on a certain segment of track is represented by the function . Homework Help ✎

Sketch a graph of the velocity function for

. What is the speed of the car at ?Recall that speed is the absolute value of velocity.

Don't forget the units!Assuming that the car is

meters above ground at , where is the car at? How far is this drop?final position = initial position + displacement

initial position is

meters Displacement is area between the velocity curve and

-axis. Notice that the area is negative (below the-axis).Total distance of the drop = area under a SPEED graph.