Posted by alivia on Friday, October 8, 2010 at 1:42pm.
You are piloting a small plane, and you want to reach an airport 450 km due south in 2.0 hours. A wind is blowing from the west at 75 km/h.What heading and airspeed should you choose to reach your destination in time?

physics  bobpursley, Friday, October 8, 2010 at 3:57pm
Make an angle measured from S counterclockwise to heading (somewhere SE)
the Easterly component has to be 75km/hr
The resultant is S, and the heading is 450
Then TanTheta= 75/desired resultantvelocity
TanTheta= 75/(450/2)
solve for Theta.
Your airspeed should be
SinTheta= 75/desiredairspeed
solve for desired airspeed.
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