Aplane is flying east at 115 m/s. the wind accelerates it at 2.88 m/s^2 directly northwest. after 25.0s, what is the magnitude of the velocity of the plane?

81.8 m/s

Explanation:

The initial velocity of the plane is:

(toward east)

So, decomposing along the x- and y- directions:

(we took east as positive x-direction and north as positive y-direction)

The acceleration is

(northwest, so the angle with the positive x-direction is 135 degrees)

Decomposing it along the two directions:

So the two components of the velocity after a time t = 25.0 s will be

So, the magnitude of the velocity of the plane will be