That was a long distance!

I thought you’d been displaced!

Distance: How far an object has moved. The metric unit for distance is the meter.

N

S

EW

200

200

200200

100

100

100100

Example: Starting at the star, Zaphod traveled •North one block•East one block•North one block•South two blocks•West one block•North one block.

How far did he travel?

1400 meters

Displacement: when an object’s position changes, its displacement is the distance and direction between its original position and its final position.

N

S

EW

200

200

200200

100

100

100100

Example: Starting at the star, Zaphod traveled •North one block•East one block•North one block•South two blocks•West one block•North one block.

What was his displacement?

200 meters North

A few examples:

What is the distance and displacement if:

1. A car drives south for 1 km.

2. A car drives north for 2 km and south for 2 km.

3. A car drives west for 1 km, south for 1 km and north for 1 km.

Distance = 1 km Displacement = 1 km south

Distance = 4 km Displacement = 0 km

Distance = 3 km Displacement = 1 km west

The A-Mazing Displacement Lab

A

B

For the lab:1. Draw a path between point A and point B without

lifting your pencil.2. Trace the path by laying a piece of string on top of

the path.3. Tie a knot in the string at point B.4. Measure the length of the string with a meter stick

or metric ruler.5. Record the distance IN METRIC units in the table.6. Use the string to measure the displacement for your

path.7. Use a different color to draw a DIFFERENT path and

repeat the measurements.8. Record your lab partner’s data in your table.9. Answer the lab questions.10. Make sure your name is on the lab sheet and turn

it in.

That was a long distance!

I thought you’d been displaced!

Speed: the distance traveled in a certain amount of time

Calculate speed by taking the distance traveled and dividing by the amount of time that the object was travelingExample: Trillion walked 2 miles in 0.5 hours.

Her speed was = = 4 miles per hour 2 miles0.5 hours

Velocity

Velocity is a speed with a direction. Wind speeds are actually wind velocities because the wind direction is also given.

Example: 30 mph from the north15 mph from the south east

If you multiply VELOCITY by TIME, you get DISPLACEMENT

If you multiply SPEED by TIME, you get DISTANCE

Examples:

1. A car travels 100 km in 60 minutes. What is its speed in kilometers/hour?

2. A plane flies 1200 miles in 2 hours. What is its speed?

3. A person walks 2 miles north in 45 minutes. What was their velocity in miles per minute?

4. A train travels 1400 miles east in 20 hours. What is its velocity?

Speed = 100 km/1 hour

Speed = 1200 miles/2 hours = 600 miles/hour

velocity = 2 miles/45 min = 0.04 miles/min North

velocity = 1400 miles/20 hrs = 70 miles/hour east