1. The problem statement, all variables and given/known data A boat is 400 kg and cruising along with a constant speed of 4.0 m/s in a direction 30 degrees north of east. The boat suddenly begins to feel a force from the wind that is 45 degrees north of east and has a magnitude of 100N. After a 10 second period what is the velocity vector of the boat? 2. Relevant equations F = ma v = vo + at 3. The attempt at a solution I'm wondering if I'm doing this right. So I broke velocity into x and y components vxo = 4cos30 vyo = 4sin30 Found the acceleration : f = ma 100 N = 400 kg * a a = 1/4 m/s2 Broke acceleration into components ax = 0.25cos45 ay = 0.25sin45 Plugged into equation vf = vo + at vx = 4cos30 + 0.25cos45 * 10 vy = 4sin30 + 0.25sin45 * 10 Then I would plug vx and vy into Pythagorean to find the magnitude of the velocity? and use inverse tan (vy/vx) to find the angle?