Vector resolution

by Quantum Mind
Tags: vectors
Quantum Mind
Quantum Mind is offline
May30-11, 03:05 PM
P: 72
1. The problem statement, all variables and given/known data

The airspeed of a small plane is 200 km/h. The wind speed is 50.0 km/h [E]. Determine the velocity of the plane
relative to the ground if the pilot keeps the plane pointing in each of the following directions.
a) East (250 km/h [E] )
b) West (150 km/h [W] )
c) North (206 km/h [N14.0E])
d) North 40 East (2.4e2 km/h [E41N] )

2. Relevant equations
Sin Theta = opp/hyp where Theta = 40 deg, Hyp=200.

3. The attempt at a solution

The first three are basic. For the fourth obviously, a simple resolution of vectors won't do. If I do, I get 128, while the answer is 240. What am I doing wrong?

Sorry to sound so stupid, I am a novice at physics.
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lewando is offline
May30-11, 04:16 PM
PF Gold
P: 1,054
The Pythagorean method is only useful for adding vectors that form a right angle. What other methods of vector addition have you covered?
Quantum Mind
Quantum Mind is offline
May31-11, 11:06 AM
P: 72
OK, I got it. Thanks. I have to use the head to tail method.

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