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

3-139.

While riding a roller coaster, the velocity in meters per second on a certain segment of track is represented by the function .

Sketch a graph of

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.