Home > CALC > Chapter 2 > Lesson 2.2.1 > Problem 2-56
2-56.
Zuhaib is anxiously waiting for the results of his calculus test and is pacing back and forth as shown in the graph below.
At which point (
or ) was Zuhaib's speed the greatest? Approximate the rate. At which point was Zuhaib's velocity the greatest? Approximate the rate.
What is the difference between speed and velocity?
This is a distance/position graph. Notice how Zuhaib is moving forward and backwards as she paces.
Speed is the absolute value of velocity. And velocity is the slope of a distance graph.
At which point is the absolute value of the slope the steepest?
Velocity is the slope on a distance/position graph.