distance_displacement

1. QUIZ ON
DISTANCE AND
DISPLACEMENT

2. 1. Mateo pogo sticks
to his science class.
He travels 8 m east
then 4 m north. What
distance did he cover?
What was his
displacement?

3. 2. Alan rents a private jet for the weekend.
He flies 400 km south to New York, then
flies 700 km west to Chicago, then 1200 km
south to Miami. What distance did he
cover? What was his displacement?

4. 3. Rhea buys a new
Jet ski. She goes 12
km north from the
beach. She jumps
wakes for 6 km to
the east. Then
chases a boat 10
km north. What
distance did she
cover? What was

5. 4. Alex goes cruising
on his dirt bike. He
rides 700 m north,
300 m east, 400 m
north, 600 m west,
1200 m south 300 m
east and finally 100 m
north. What distance
did he cover? What
was his displacement?

6. 5. Stephen buys a
new moped. He
travels 3 km south
and then 4 km
east. How far
does he need to
go to get back to
where he started?

7. QUIZ ON
DISTANCE AND
DISPLACEMENT
– ANSWER KEY

8. 1. Mateo pogo sticks to his science class. He travels 8 m
east then 4 m north. What distance did he cover? What was
his displacement?
Given: d = 8 m, east 4 m, north
Unknown: distance and displacement
Formula: distance = d1 + d2
displacement = c2
= a2
+ b2
Solution: distance = 8 m + 4 m
= 12 m
displacement = 82 +
42
= 64 + 16
= √80
= 8.9 m, northeast

9. 2. Alan rents a private jet for the weekend. He flies 400 km
south to New York, then flies 700 km west to Chicago, then
1200 km south to Miami. What distance did he cover? What
was his displacement?
Given: d = 400 km, south 700 km, west 1200
km south
Unknown: distance and displacement
Formula: distance = d1 + d2 + d3
displacement = c2
= a2
+ b2
Solution: distance = 400 km + 700 km + 1200 km
= 2300 km
displacement = 7002 +
16002
= 490,000 + 2,560,000
= 3,050,000
√

10. 3. Rhea buys a new Jet ski. She goes 12 km north from the
beach. She jumps wakes for 6 km to the east. Then chases
a boat 10 km north. What distance did she cover? What
was her displacement?
Given: d = 12 km, north 6 km, east 10 km
north
Unknown: distance and displacement
Formula: distance = d1 + d2 + d3
displacement = c2
= a2
+ b2
Solution: distance = 12 km + 6 km + 10 km
= 28 km
displacement = 62
+ 222
= 36 + 484
= 520
√

11. 4. Alex goes cruising on his dirt bike. He rides 700 m north, 300
m east, 400 m north, 600 m west, 1200 m south 300 m east and
finally 100 m north. What distance did he cover? What was his
displacement?
Given: d = 700 m, N 300 m, E 400 m, N
600 m, W 1200 m, S 300 m, E 100 m, N
Unknown: distance and displacement
Formula: distance = d1 + d2 + d3 + d4 + d5 + d6 + d7
displacement = c2 = a2 + b2
Solution: distance = 700 m + 300 m + 400 m + 600 m
+ 1200 m + 300 m + 100 m
= 3600 m
displacement = 0

12. 5. Stephen buys a new moped. He travels 3 km south and
then 4 km east. How far does he need to go to get back to
where he started?
Given: d = 3 km, south 4 km, east
Unknown: distance and displacement
Formula: distance = d1 + d2
displacement = c2
= a2
+ b2
Solution: distance = 3 km + 4 km
= 7 km
displacement = 32 +
42
= 9 + 16
= 25
√
= 5 km, southeast