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A man walks 275m due east then another 125 m due east. What is his resultant displacement?

A man walks 275m due east then another 125 m due east. What is his resultant displacement?

PART 1

PART 2

275 m

125 m

Using a ruler you measure from the beginning of part 1 to the end of part 2

A man walks 275m due east then another 125 m due east, what is his resultant displacement?

PART 1

PART 2

275m

125m

A man walks 275m due east then another 125 m due east. What is his resultant displacement?

275m

125m

A man walks 275m due east then another 125 m due west. What is his resultantdisplacement?

A man walks 275m due east then another 125 m due west. What is his resultant displacement?

PART 1

275 m

A man walks 275m due east then another 125 m due west. What is his resultant displacement?

PART 2

125 m

Using a ruler, measure from the beginning of part 1 to the end of part 2

A man walks 275m due east then another 125 m due west. What is his resultant displacement?

A man walks 275m due east then another 125 m due west. What is his resultant displacement?

275m

125m

A man walks 275m due east, then another 125 m due north. What is his resultantdisplacement?

A man walks 275m due east then another 125 m due north. What is his resultant displacement?

N

PART 2

125 m

PART 1

E

275 m

Now we have the magnitude of the resultant vector we need a direction for the resultant vector

so…

We get our protractors out and measure the angle of the resultant vector

302 m; 24.4° North of East

On the last one we wrote 40° “North of East”, b/c we were saying it went 40° North “from” East.

In your notebook try the following for practice

What direction is a vector directed “northeast” or “southwest”?

What direction is a vector directed “northeast” or “southwest”?

- By definition, “northeast”, “southeast”, “southwest”, and “northwest” are vectors directed at 45 degrees.

Not only can we add vectors graphically, we can also find the resultant mathematically…

When vectors are added at right angles to each other, the Pythagorean Theorem can be used to determine the magnitude of the resultant.

Trigonometric functions can be used to determine the direction.

A plane travels at 450 km/h due north with a wind blowing at 120 km/h due east. What is the resultant velocity of the plane?

120 km/h

450 km/h

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