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