How far to the north of his starting position does Carlos end up? For the three

Question

How far to the north of his starting position does Carlos end up?

For the three vectors shown above in the figure. A rightarrow + B rightarrow + C rightarrow = - 1.30 i. What is vector B rightarrow? (Fioure 1) Write B as components separated by a comma. For example, if you thought the x component was 3 and the y component was 4, then you would enter 3, 4. What is the magnitude of B rightarrow? How many degrees above the negative x-axis does B rightarrow point? Measure the angle clockwise from the negative x-axis. Carlos runs with velocity v rightarrow = ( 5m/s , 25 degree north of east) for 12 minutes. How far to the north of his starting position does Carlos end up? Express your answer as an integer and include the appropriate units.

Explanation / Answer

A) Bx = -1.3-4 = -5.3

By = 2

hence (-5.3,2)

B cos(theta) = 4+1.3 = 5.3

B sin(theta) = 2

thus tan theta = 2/5.3

=> theta = 20.674424760874 answer(C)

thus B = 2/sin(20.674424760874) =5.6648036153113072 answer(B)

disatnce travelled = 5*sin(25)*12 = 25.35709570446 m

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