SOLUTION: To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h.
State the true velocity of the wind in i, j vector form.
velocity (
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-> SOLUTION: To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h.
State the true velocity of the wind in i, j vector form.
velocity (
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Question 998492: To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h.
State the true velocity of the wind in i, j vector form.
velocity (km/h) =
What is the speed of the wind?
speed (km/h) =
Taking i as due East, what is the direction of the wind (in standard bearing notation) to the nearest degree?
bearing (°) ≈
THANK YOU Answer by ikleyn(52781) (Show Source):
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To a person riding a bike with velocity (7 i + 3 j) km/h the wind seems to have velocity (9 i + 10 j) km/h.
State the true velocity of the wind in i, j vector form.
velocity (km/h) =
What is the speed of the wind?
speed (km/h) =
Taking i as due East, what is the direction of the wind (in standard bearing notation) to the nearest degree?
bearing (°) ≈
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To a person riding a bike with velocity (r*i + s*j) in a still air (at no wind) the wind seems to have velocity (-r*i, -s*j) . From here I make a conclusion that
- if a person is riding a bike with velocity (r*i + s*j) relative to the earth surface and
- if the wind is (u*i + v*j) relative to the earth surface,
then for the person the wind seems to have velocity ((u-r)*i, (v-s)*j).
Thus we have the equations for the unknowns wind's velocity components (u*i, v*j)
u - 7 = 9 (for i-direction), and
v - 3 = 10 (for j-direction).
It gives for the wind's velocity components u = 7+9 = 16 for i-direction, and v = 3+10 = 13 for j-direction.
