Section 8.1

My chairDoorMy deskIf I start at my chair and walk to my desk and then back to my chair, what is my displacement? Total distance traveled?Displacement: 8+(-8)=0Total distance: 8+8=16

My chairDoorMy deskIf I start at my chair and walk to my desk and then to the door, what is my displacement? Total distance traveled?Displacement: 8+(-10)=-2Total distance: 8+10=18What is the significance of a positive or negative displacement?Is total distance ever negative?

Speed is the absolute value of velocity.

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?200ft200ft200ft100ft700 feet

What is the displacement of the bee?200ft-200ft200ft-100ft100 feet towards the hive

A turtle starts 2 feet to the left of my mailbox. Where is the turtle at t=10? What is the net distance traveled by the turtle?What is the total distance traveled by the turtle?714

What is the displacement of the particle? What is the total distance traveled?If the particle started at x=3 when t=0, what is the position of the particle at 10 seconds?The velocity of a particle moving along the x-axis is given.

To find the displacement (position shift) from the velocity function, we just integrate the function. The negative areas below the x-axis subtract from the total displacement.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 x-axis. (Take the absolute value of each integral.)Or you can use your calculator to integrate the absolute value of the velocity function.

An object moves along a coordinate line with the distance to the right considered positive. If the velocity of the object is given by

over the time interval find the netand total distance traveled.WITH CALCULATORSet up the problem if you wanted to know the net distance for

An object moves along a coordinate line with the distance to the right considered positive. If the velocity of the object is given by

over the time interval find the netand total distance traveled.WITHOUT CALCULATOR

Find the net and total distance traveled by the moving object in the time interval given. Note that acceleration is given.

The velocity of a car was read at 10 second intervals and recorded in the table. Estimate the distance traveled by the car.

Time(sec)01020304050Velocity (ft/sec)04042505545

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