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