### 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.