The graph at right shows the velocity of an object over time defined by the function v(t) = −0.5t2 + 3t + 1. Homework Help ✎
Use your graphing calculator to evaluate
What does the result in part (a) find?
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?