Asked by Christian
Assuming motion is on a straight path, what would result in two positive components of a vector?
a train moving north of east at an angle of 25°
a bus moving north of east at an angle of 95°
a boat moving south of west at an angle of 40°
a car moving south of west at an angle of 10
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Only the train moving north of east at 25°.
Reason: taking +x = east and +y = north, the components are x = v cosθ, y = v sinθ where θ is measured from east toward north. Both cosθ and sinθ are positive only for 0° < θ < 90° (first quadrant). 25° meets this; 95° gives x negative, and any "south of west" direction gives both components negative.
Reason: taking +x = east and +y = north, the components are x = v cosθ, y = v sinθ where θ is measured from east toward north. Both cosθ and sinθ are positive only for 0° < θ < 90° (first quadrant). 25° meets this; 95° gives x negative, and any "south of west" direction gives both components negative.
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