Question

use the number line below to answer the following questions. show all work and yes there is some! 4. what is the objects displacement as it moves from point a to c? 5. what distance does the object travel as it moves from point d to b? 6. what is the objects displacement as it moves from point a to e and then back to c? 7. what distance does the object travel as it moves from point a to e and then back to c? 8. what is the objects displacement as it moves from point e to c to d to a to b? 9. what distance does the object travel as it moves from point e to c to d to a to b?

Explanation:

Step1: Recall definitions

Distance is the total path length traveled, displacement is the straight - line distance from initial to final position.

Step2: Solve question 4

The object moves from A (- 5 m) to C (0 m). Distance = |-5 - 0|=5 m, displacement = 0-(-5)=5 m.

Step3: Solve question 5

The object moves from D (5 m) to B (- 3 m). Distance = |5-(-3)| = 8 m, displacement=-3 - 5=-8 m.

Step4: Solve question 6

The object moves from A (- 5 m) to E (- 10 m) and then back to C (0 m). Distance = |-5-(-10)|+|-10 - 0|=5 + 10=15 m, displacement=0-(-5)=5 m.

Step5: Solve question 7

The object moves from A (- 5 m) to E (- 10 m) and then back to C (0 m) and then to D (5 m) and then to A (- 5 m) and then to B (- 3 m). Distance=|-5-(-10)|+|-10 - 0|+|0 - 5|+|5-(-5)|+|-5-(-3)|=5 + 10+5 + 10+2=32 m, displacement=-3-(-5)=2 m.

Step6: Solve question 8

The object moves from E (- 10 m) to C (0 m) to D (5 m) to A (- 5 m) to B (- 3 m). Distance=|-10 - 0|+|0 - 5|+|5-(-5)|+|-5-(-3)|=10 + 5+10+2=27 m, displacement=-3-(-10)=7 m.

Step7: Solve question 9

The object moves from E (- 10 m) to C (0 m) to D (5 m) to A (- 5 m) to B (- 3 m). Distance=|-10 - 0|+|0 - 5|+|5-(-5)|+|-5-(-3)|=10 + 5+10+2=27 m.

Answer:

1. Distance: 5 m, Displacement: 5 m
2. Distance: 8 m, Displacement: - 8 m
3. Distance: 15 m, Displacement: 5 m
4. Distance: 32 m, Displacement: 2 m
5. Distance: 27 m, Displacement: 7 m
6. Distance: 27 m