3. Faith can swim in water that is at rest at a rate of 1.00 m/s, given by V. She heads straight across a wide river that is flowing at 0.50 m/s, 30.0 degrees south of east, relative to the Earth, given by v- What is her resultant WE· velocity relative to the Earth, given by v ? Give the angle relative to due East (positive x axis). (a) Use the velocity vectors VEr, VEW, Ve for Faith to Earth, Faith to water and water to Earth, respectively. Do a quick sketch to determine the quadrant you'll need to do the graphical method. This is not the graphical method - this is to help guide you, so you do the problem correctly. FE> (b) Using a scale of 10 cm = 1 m/s, find Veg using the graphical method. Carefully label everything, state scale, etc. FE State the relative motion vector equations using VEg,VEw, Vwg - FE' FW> (c) Repeat using the component method, both magnitude and direction. Also find the ij vector and box it. You don't need to calculate the percent error between magnitude and direction, though they should agree within a few percent.
3. Faith can swim in water that is at rest at a rate of 1.00 m/s, given by V. She heads straight across a wide river that is flowing at 0.50 m/s, 30.0 degrees south of east, relative to the Earth, given by v- What is her resultant WE· velocity relative to the Earth, given by v ? Give the angle relative to due East (positive x axis). (a) Use the velocity vectors VEr, VEW, Ve for Faith to Earth, Faith to water and water to Earth, respectively. Do a quick sketch to determine the quadrant you'll need to do the graphical method. This is not the graphical method - this is to help guide you, so you do the problem correctly. FE> (b) Using a scale of 10 cm = 1 m/s, find Veg using the graphical method. Carefully label everything, state scale, etc. FE State the relative motion vector equations using VEg,VEw, Vwg - FE' FW> (c) Repeat using the component method, both magnitude and direction. Also find the ij vector and box it. You don't need to calculate the percent error between magnitude and direction, though they should agree within a few percent.
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Transcribed Image Text:3. Faith can swim in water that is at rest at a rate of 1.00 m/s, given by Vew. She heads straight across a wide river
that is flowing at 0.50 m/s, 30.0 degrees south of east, relative to the Earth, given by v - What is her resultant
velocity relative to the Earth, given by Vg ? Give the angle relative to due East (positive x axis).
(a) Use the velocity vectors vER, VEW, VWg for Faith to Earth, Faith to water and water to Earth, respectively. Do a
quick sketch to determine the quadrant you’ll need to do the graphical method. This is not the graphical method – this
is to help guide you, so you do the problem correctly.
(b) Using a scale of 10 cm = 1 m/s, find VEg using the graphical method. Carefully label everything, state scale, etc.
State the relative motion vector equations using VEE, VEW , Vwg •
(c) Repeat using the component method, both magnitude and direction. Also find the ij vector and box it. You don't
need to calculate the percent error between magnitude and direction, though they should agree within a few percent.
Component Method Results:
Graphical Method Results:
ijk vector:
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