A velocity of 30 mph is resolved into two components, each of which makes an angle of 45 degrees with it. Find their magnitude.

1 answer

sketch the diagram:

the normal sum of the components is zero.

V1*cos45-V2Cos45=0
so V1=V2
the sum in the direction of the 30 mph add, so
V1*sin45+V2*sin45=30
2V1*sin45=30
solve for V1
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