Calculating Resultant Velocity of Plane: Kinematic Questions

[souzky21]

Homework Statement

A pilot heads his airplane due east at a speed of 75 m/s. While he is flying, a wind blows at 60 degrees North East with a constant speed of 25 m/s. What is the reultant velocity of the plane?

Homework Equations

s=(u+v/2)t, v=u+at, and s=ut+1/2at²

The Attempt at a Solution

(none as of yet... I am completely stumped... my professor just threw this onto us without giving us any previous info and I've searched everywhere for the answer, textbook, internet and i went to him and he was just like do it yourself)

 

[edziura]

Express both velocities as rectangular vectors and use vector addition.

 

[ephedyn]

Draw a vector triangle and use the cosine rule.

resultant velocity^2 = 75^2 + 25^2 - 2(75)(25) cos 150, in degrees.

 

[souzky21]

thank you so much mate... this site is a life saver... like a professor here helping me 24/7 much appreciated