### Home > CALC > Chapter 4 > Lesson 4.2.3 > Problem 4-76

4-76.

The graph at right shows the velocity of an object over time defined by the function *v*(*t*) = −0.5*t*^{2}+ 3*t*+ 1. Homework Help ✎Use your graphing calculator to evaluate

. What does the result in part (a) find?

What does

represent? What would the units be in part (c)?

You just calculated the area under a velocity graph.

Translation 1: What is the derivative of a velocity function?

Translation 2: What is the slope function of a velocity function?

Translation 3: If velocity is the derivative of position, then what is the derivative of velocity?