A pitot is steering a plane in the direction N 45° W at an air-speed (speed stil in air) of 160 mi/h. A wind is blowing in the direction S 30 E at a speed of 37 m/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still air, write a vector that represents the velocity of the plate and a vector that represents the velocity of the wind. =-160 cos 45/+160 sin-45 plante wind Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.) 160 +)+(-³) V plane "wild" 160 x Find (vt. (Round your answer to one decimal place.) Ivi-130.3 mi/h 2 x Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.) true course N 4853 xw ground speed

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Consider the following scenario
A pitot is steering a plane in the direction N 45" W at an air-speed (speed stil in air) of 160 mi/h. A wind is blowing in the direction S 30 E at a speed of 37 mi/h.
Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still ar, write a vector that represents the velocity
of the plate and a vector that represents the velocity of the wind.
-160 cos 45/+160 sin 45/
plane
Vind
Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.)
160
√2
313
V=
V.
glans
wind T
160
X
Find vl. (Round your answer to one decimal place.)
(V)- 130.3
mi/h
x
x
Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.)
true course
N 48.53
xw
ground speed
Transcribed Image Text:Consider the following scenario A pitot is steering a plane in the direction N 45" W at an air-speed (speed stil in air) of 160 mi/h. A wind is blowing in the direction S 30 E at a speed of 37 mi/h. Set up the coordinate axes so that north is the positive y-direction and west is the negative x-direction. With respect to the still ar, write a vector that represents the velocity of the plate and a vector that represents the velocity of the wind. -160 cos 45/+160 sin 45/ plane Vind Give a velocity vector of the plane relative to ground. (Round your values to three decimal places.) 160 √2 313 V= V. glans wind T 160 X Find vl. (Round your answer to one decimal place.) (V)- 130.3 mi/h x x Find the true course and the ground speed (in mi/h) of the plane. (Round your answers to one decimal place.) true course N 48.53 xw ground speed
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