A resultant vector is

equal to the sum of two or more vectors.

equal to the sum of one vector.

equal to the difference of one vector.

When subtracting two vectors, a-b=c. Does b-a produce the same resultant vector c?

Yes, but c will be pointing in the opposite direction

Yes, two vectors subtracted together always produce the same resultant vector

No, because you can't subtract two vectors

With this one, try drawing the diagram yourself to help you if you need it: A football is kicked at 12 m s -1 at an angle of 35° to the horizontal. The horizontal component of its velocity, in m s -1 , is given by

12 cos ⁡ 35 ° 12\cos\ 35\degree 1 2 cos 3 5 °

12 sin ⁡ 35 ° 12\sin35\degree 1 2 sin 3 5 °

12 cos ⁡ 35 ° \frac{12}{\cos35\degree} cos 3 5 ° 1 2

12 sin ⁡ 35 ° \frac{12}{\sin35\degree} sin 3 5 ° 1 2

Remember, do a diagram if you think it will help: A body is acted on by a vertical force of 18 N and a horizontal force of 32 N. The angle to the horizontal of the resultant force is given by

tan ⁡ − 1 ( 18 32 ) \tan^{-1}\left(\frac{18}{32}\right) tan − 1 ( 3 2 1 8 )

cos ⁡ − 1 ( 18 32 ) \cos^{-1}\left(\frac{18}{32}\right) cos − 1 ( 3 2 1 8 )

sin ⁡ − 1 ( 32 18 ) \sin^{-1}\left(\frac{32}{18}\right) sin − 1 ( 1 8 3 2 )

tan ⁡ − 1 ( 32 18 ) \tan^{-1}\left(\frac{32}{18}\right) tan − 1 ( 1 8 3 2 )

IB Physics Adding Vectors

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IB Physics Adding Vectors

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Physics

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11th Grade

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Practice Problem

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Medium

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NGSS.HS-PS2-1, CCSS.HSN.VM.A.1, CCSS.HSN-VM.B.4C

Standards-aligned

Nickolas Gravlin

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19 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Vector is a quantity with:

magnitude and direction

magnitude

direction

none of the above

In practice A of the figure, What is the magnitude of the resultant displacement?

5 km

8 km

11 km

15 km

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south. What is the magnitude and direction of the car's resultant displacement?

40 metres, South

50 metres, South

50 metres, North

40 metres, North

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Is this a scalar quantity or a vector quantity?
Wind blowing at 20 knots

Scalar

Vector

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?

20m

40m

-20m

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the Net Force?

5 N to the right

10 N to the right

15 N to the right

0 N

The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the velocity of Air Force One with respect to the ground.

252 m/s

222 m/s

435 m/s

125 m/s

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IB Physics Adding Vectors

19 questions

Vector is a quantity with:

In practice A of the figure, What is the magnitude of the resultant displacement?

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south. What is the magnitude and direction of the car's resultant displacement?

Is this a scalar quantity or a vector quantity?
Wind blowing at 20 knots

If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?

What is the Net Force?

The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the velocity of Air Force One with respect to the ground.

A fishing boat with a maximum speed of 3 m/s relative to the water is in a river that is flowing at 2 m/s. What is the minimum speed the boat can obtain relative to the shore?

A motorboat velocity is 20 km/h in still water. If the boat must travel straight to the nearest shore in a river whose current is 12 km/h, What up stream angle must the bow boat point at? (hints: you know the opposite and resultant sides of your right triangle here).

Vector F in the x-component is ....

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IB Physics Adding Vectors

19 questions

Vector is a quantity with:

In practice A of the figure, What is the magnitude of the resultant displacement?

A car travels 90 meters due north in 15 seconds. Then the car turns around and travels 40 meters due south. What is the magnitude and direction of the car's resultant displacement?

Is this a scalar quantity or a vector quantity?Wind blowing at 20 knots

If a boomerang is thrown 20 m in a straight line and returns exactly to the spot it was thrown what is its displacement?

What is the Net Force?

The president’s airplane, Air Force One, flies at 250 m/s to the east with respect to the air. The air is moving at 35 m/s to the north with respect to the ground. Find the velocity of Air Force One with respect to the ground.

A fishing boat with a maximum speed of 3 m/s relative to the water is in a river that is flowing at 2 m/s. What is the minimum speed the boat can obtain relative to the shore?

A motorboat velocity is 20 km/h in still water. If the boat must travel straight to the nearest shore in a river whose current is 12 km/h, What up stream angle must the bow boat point at? (hints: you know the opposite and resultant sides of your right triangle here).

Vector F in the x-component is ....

Create a free account and access millions of resources

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Is this a scalar quantity or a vector quantity?
Wind blowing at 20 knots