- #1

chengbin

- 26

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a) What is her velocity relative to the ground?

b) Suppose she wants to arrive directly across from her starting point. In what direction must she head? What will be her velocity with respect to the ground?

My teacher wants the solution in this format and notation.

[tex]V_{s,w} = 2.0 m/s [N][/tex]

[tex]V_{w,g} = 1.5 m/s [E][/tex]

[tex]V_{m,g} = V_{s,w} + V_{w,g}[/tex]

[tex]V_{m,g} = V_{s,w} + V_{w,g}[/tex]

[tex]= \sqrt {(2.0 m/s)^2 + (1.5 m/s)^2}[/tex]

[tex]=2.5 m/s[/tex]

[tex]\tan \theta = \frac {1.5 m/s}{2.0 m/s}[/tex]

[tex]\theta = 37^{\circ}[/tex]

The relative velocity to the ground is 2.5 m/s [N 37 E]

I don't know how to setup the solution for part b. The teacher only told us only use the equation [tex]V_{a,c} = V_{a,b} + V_{b,c}[/tex]. How do I do this question? I know I have to do [tex]= \sqrt {(2.0 m/s)^2 - (1.5 m/s)^2}[/tex] to get the answer, but how would I show that in the above notation?