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Finding the Component Form a Vector Finding the Component Form a Vector

Finding the Component Form a Vector - PowerPoint Presentation

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Uploaded On 2016-07-20

Finding the Component Form a Vector - PPT Presentation

Use the velocity vector and angle measure to find the component form of the vector as shown V IvIcosi IvIsinj Finding the Component Form a Vector Example 1 A plane is flying at a bearing of 250 degrees at 150 miles per hour ID: 412900

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Slide1

Finding the Component Form a Vector

Use the velocity vector and angle measure to find the component form of the vector as shown:

V =

IvIcos”i

” +

IvIsin”j

” Slide2

Finding the Component Form a Vector

Example 1:

A plane is flying at a bearing of 250 degrees at 150 miles per hour.

Find the component form of the vectorSlide3

Using the Component Form of a Vector to Find Resultant Magnitude

Example 1

Using Vectors to find Speed and Direction:

Airplane traveling at 500 mph at a bearing of 330 degrees

Wind is blowing at 70 mph in a direction 45 degrees

North of East

.

Find the resultant speed of the airplane.

Solution:

Find the component form of each vector (airplane and wind)

Add corresponding

i

and j values to find a sum vector

Find the resultant Magnitude and Direction AngleSlide4

Using the Component Form of a Vector to Find Resultant Magnitude

Example

2 – Baseball Field

Ball is hit that would travel a distance of 410 feet 30 degrees to the left of straightaway center field

Wind is blowing at an adjusted distance of 30 feet 40 degrees to the right of straightaway center field

Find the resultant distance traveled by the ball