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Recall that a vector has both:PowerPoint Presentation

Recall that a vector has both:

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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

RULER is his

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

PART 1

PART 2

275m

125m

RULER is his

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

275m

125m

RESULTANT: is his 400m East

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

A man walks 275m due east then another 125 m due is his 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

RULER is his

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

RULER is his

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

275m

125m

RESULTANT: is his 150m East

A man walks 275m due east, then another 125 m due is his 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

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

125 m

PART 2

PART 1

275 m

E

N

RULER the end of part 2

E

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

Resultant Vector direction for the resultant vector

302 m; 24.4° North of East

ANGLE NOTATION direction for the resultant vector

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

ANSWER: direction for the resultant vector30° East of North

ANSWER: direction for the resultant vector30° South of East

ANSWER: direction for the resultant vector30° East of South

ANSWER: direction for the resultant vector30° West of South

ANSWER: direction for the resultant vector30° South of West

ANSWER: direction for the resultant vector30° North of West

ANSWER: direction for the resultant vector30° West of North

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 “southwest”?graphically, we can also find the resultant mathematically…

When vectors are added at right angles to each other, the “southwest”?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

120 km/h due east. What is the resultant velocity of the plane?

120 km/h

450 km/h

tan = 120/450

R = 466 km/h 15 east of north

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