The velocity of an airplane is 425 km/h, in a direction of 40 degrees north of east. The wind is blowing at a velocity of 75 km/h northward.
A. What is the resultant velocity of the plane?
B. How long does it take for the plane to make a displacement of 2000 km?
Horizontal component: Rx=Rcosθ
Vertical component: Ry=Rsinθ
Velocity resultant: √(Rx)^2+(Ry)^2
The Attempt at a Solution
I split the plane and wind vectors to Rx and Ry and calculated the total Rx and total Ry. Then I calculated the Resultant Velocity and the Direction.
My problem is in the second requirement. I used the formula Δt=Δx/v. What velocity should I use here? Should I use the Horizontal or Vertical or Resultant Velocity(from the first requirement) to find the time?