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## Homework Statement

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?

## Homework Equations

Horizontal component: Rx=Rcosθ

Vertical component: Ry=Rsinθ

Velocity resultant: √(Rx)^2+(Ry)^2

Direction: tanθ=Ry/Rx

Time: Δt=Δx/v

## 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?