Sketch a velocity graph and label the axes with the correct units.
Shade the area under the curve for 0 ≤ x ≤ t. What does this area represent?
What are the units of the area? Explain how you know.
Compute the distance traveled for 0 ≤ x ≤ 2.
The area represents distance traveled (or displacement) between x = 0 and x = t.
The shape is a trapezoid.
Height is horizontal, so it represents time, in hours. Evaluate the area of a trapezoid. Simplify the units.
Find A (20x + 30, 0 ≤ x ≤ 2).
Use the eTool below to set values for t.
Click the link at right for the full version of the eTool: Calc 1-37 HW eTool