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Two friends, barbara and neil, are out rollerblading. with respect to the ground, barbara is skating due south at a speed of 6.3 m/s. neil is in front of her. with respect to the ground, neil is skating due west at a speed of 2.4 m/s. find neil's velocity ((a) magnitude and (b) direction relative to due west, as seen by barbara.

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shinmin

For magnitude:


This makes up as a triangle with velocity for the sides as an alternative of distance. 

6.3^2 + 2.4^2 = C^2 
39.69 + 5.76 = 45.45 = C^2 
C = 45.45^1/2 = 6.742 

b. the direction


then get the inverse tangent of the observed angle is 2.4/6.8 = 0.3529 
the answer is 19 degrees.


Neil appears to be 6.742 m/s at 19 degrees west.

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