15. + 7 points SerCP113.PO23. My Notes Ask Your A jet airliner moving initially

Question

15. + 7 points SerCP113.PO23. My Notes Ask Your A jet airliner moving initially at 2.80 x 10 mi/h due east enters a region where the wind is blowing at 1.00 x 102 mi/h in a direction 24.0° north of east. (Let the x-direction be eastward and the y-direction be northward.) (a) Find the components of the velocity of the jet airliner relative to the air, VJA mi/h V)A,y = mi/h (b) Find the components of the velocity of the air relative to Earth, . mi/h mi/h (c) write an equation analogous to VAB=VAE-YE for the velocities VA, v,E, and . (In the given equation, VBE is the velocity of observer B relative to observer E. Object A travels with velocityB relative to observer B, and velocity relative to observer E.) (d) What are the speed and direction of the aircraft relative to the ground? magnitude direction mi/h o north of east Need Help?Read It

Explanation / Answer

A)

The Jet has no initial velocity in y axis while it is in still air

VJA,x  = 2.80 x 102 = 280 mi/h

VJA,y = 0 mi/h

B)

VAE,x = 1.00 x 102 x cos24 = 91.4 mi/h

VAE,y = 1.00 x 102 x sin24 = 40.7 mi/h

C)

VJA = VJE - VAE

D)

VJA = VJE - VAE

VJA + VAE= VJE

VJE,x = VJA,x + VAE,x

VJE,x = 280 + 91.4 = 371.4 mi/h

VJE,y = VJA,y + VAE,y

VJE,y = 0 + 40.7= 40.7 mi/h

VJE = (VJE,x2 +VJE,y2)

VJE = (371.42 +40.72)

VJE = 374 mi/h

DIrection

=arctan(40.7/371.4) = 6.25o north of east

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