Name:___________________________________________Date:_________

To describe location, imagine a meterstick is placed next to the object. The meter stick acts as a number line. Objects to the left of 0 have a negative position, objects to the right of zero have a positive position.

Example: The position of the heart is 5m

1. What is the position of the smile face? __________ The position of the lightning? __________ (don't forget units)

2. Draw each letter as indicated:

Place an W at the 2 m mark. | Place an P at the -5 m mark.

Place a S at the 6 m mark | Place a A at at the -1m mark.

Displacement = x_{f} - x_{i}

x

_{f}= final position and x_{i}= initial position

3. What is the initial position of the car? _________________ What is the final position of the car? ______________

4. What is the car's displacement? __________________ (don't forget units!)

Distance = a measurement of the actual path traveled

Displacement = the straight-line distance between two points.

5. The rabbit and the fox both start from point A and end up at Point B. How far does the fox travel? ______ the rabbit? _____

When an object moves, an arrow is drwn to show displacement. That arrow starts at x_{i} and ends at x_{f}.

6. What is the displacement of the smile as shown on the line below? _____________

Directions are negative if the arrow points left or down

Directions are positive if the arrow points right
up.

What is the object's direction? __________________

7. Draw an arrow showing an object that moves from the 5m position to the -4m position.( Hint: Try placing a marker on the lines to help you count)

What is the object's displacement?__________ What is the object's direction? _______________

8. Draw an arrow showing an object that moves from the -2m position to the 5m position.

What is the object's displacement?__________ What is the object's direction? _______________

9. Draw an arrow showing an object that moves from the 8m position to the 2m position.

What is the object's displacement?__________ What is the object's direction? _______________

10. On the number line below, a crab started at the -6 m position. He then crabwalked to other locations. Mark each on the number line with the letter indicated.

A. First Crabby walked 7 m in the positive direction. Place an D in this location.

B. Then Crabby walked 3 m in the negative position. Place an I in this location.

C. Crabby then walked 9 m in the positive direction. Place an E at this location.

D. Finally Crabby walked 15 m in the negative direction. Place a T at this location.

:

The letters will answer the important question: "Why did the crab cross the road?... To get to the other _____________!"

11. Place a displacement arrow from Crabby's initial position and his final position.

What is Crabby's total displacement? Be sure to include sign, number and units. _______________

12. What is the total DISTANCE that Crabby traveled? _________________

13. You may need to think about this problem

A child is jumping up and down on a trampoline. With each jump, she can clear 1 meter.

If she jumps 10 times, what is her distance traveled? __________________

What is her displacement? _______________

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