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Questions relating to motion in a plane 
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#1
Dec2906, 09:52 PM

P: 32

1. The problem statement, all variables and given/known data
I just would like to know if I'm using the right procedure to solve these problems. (a) Suzanne is skiing with a velocity of 18.0 m/s (N30.0 degrees W). What is the (N) component of her velocity vector? (b) TIm is running crosscountry at 6.4 m/s (S) when he completes a wide turn and continues at 5.8 m/s (W). What is his change in velocity? 2. Relevant equations Cos(theta) = adjacent / hypotenuse velocity = V2  V1 use of Pythagorean theorum formula 3. The attempt at a solution (a) Given: velocity = 18.0 m/s 30 degrees Required: Vn Analysis: cos(theta) = adjacent/hypotenuse Cos30 degrees = Vn / 18 m/s Vn = (18.0 m/s) (Cos30 degrees) =15.6 m/s (b) Given: V1 = 6.4 m/s (E) V2 = 5.8 m/s W Required: change in velocity Analysis: velocity = V2  V1 =V2 + (V1) =V2  V1 use the pythagorean theorum to determine the magintude of the velocity vector. V^2 = (5.8)^2 + (6.4)^2 =33.64 + 40.96 =74.6 m^2 s^2 =8.64 m/s Then determine the direction of the velocity vector. Tan (theta) = 5.8 m/s / 6.4 m/s =0.91 =tan10.91 =42.3 degrees Therfore his change in velocity is 8.64 m/s (S 42.3 degrees W) Any help is always appreciated. Thanks Pharm 89 1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution 


#2
Dec3006, 05:12 AM

P: n/a

Your solution is right.



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