This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Greg Kelly, Hanford High School, Richland, Washington ft min minutes A honey bee makes several trips from the hive to a flower garden. The velocity graph is shown below. What is the total distance traveled by the bee? 200ft 200ft 200ft 100ft 200 200 200 100 700 + + + = 700 feet → ft min minutes What is the displacement of the bee? 200ft200ft 200ft100ft 200 200 200 100 100 + = 100 feet towards the hive → To find the displacement (position shift) from the velocity function, we just integrate the function. The negative areas below the xaxis subtract from the total displacement. ( 29 Displacement b a V t dt = ∫ ( 29 Distance Traveled b a V t dt = ∫ To find distance traveled we have to use absolute value. Find the roots of the velocity equation and integrate in pieces, just like when we found the area between a curve and the xaxis. (Take the absolute value of each integral.) Or you can use your calculator to integrate the absolute value of the velocity function....
View
Full Document
 Fall '05
 Riggs
 Derivative, Differential Calculus, Velocity, National Potato Consumption

Click to edit the document details