Plane's new velocity after wind from west

[jff0404]

1. Homework Statement
A plane is traveling north at 200 meters/second; a wind blows from the west and accelerates the plane at 15m/s^2. If the wind lasts 10 seconds what is the plane's new velocity?

2. Homework Equations
velocity = acceleration*time

3. The Attempt at a Solution
v = (15m/s^2)(10s) = 150 m/s. Is that towards east? I tried doing Pythagorean theorem with 150 m/s as base and 200m/s as the vertical component since the plane was traveling north and got 132m/s for hypotenuse. But that's not one of the answer choices. ?

 

[Lancelot59]

1. Homework Statement
A plane is traveling north at 200 meters/second; a wind blows from the west and accelerates the plane at 15m/s^2. If the wind lasts 10 seconds what is the plane's new velocity?

2. Homework Equations
velocity = acceleration*time

3. The Attempt at a Solution
v = (15m/s^2)(10s) = 150 m/s. Is that towards east? I tried doing Pythagorean theorem with 150 m/s as base and 200m/s as the vertical component since the plane was traveling north and got 132m/s for hypotenuse. But that's not one of the answer choices. ?

Correct, the plane is blown east. Check your math. This is what I got for the hypotenuse.

$$v_{f}=\sqrt{200^{2}+150^{2}}=250\frac{m}{s}$$

 

[jff0404]

You're right! Thank you.