Question

You’re windsurfing at 6.28 m/s when a gust hits, accelerating your sailboard at 0.714 m/s2 at 48.8◦ to your original direction. If the gust lasts 5.42 s, what’s the magnitude of the board’s displacement during this time?

Answer 1

The magnitude of the sailboard's displacement during the gust is 33.972 m.

Step-by-step explanation:

To find the magnitude of the sailboard's displacement during the gust, we need to calculate the change in velocity caused by the gust and then use the kinematic equation: displacement = initial velocity * time + 0.5 * acceleration * time².

First, calculate the change in velocity caused by the gust using the equation: change in velocity = acceleration * time. In this case, the acceleration is 0.714 m/s² and the time is 5.42 s, so the change in velocity is 3.87 m/s.

Next, use the kinematic equation to find the displacement: displacement = 6.28 m/s * 5.42 s + 0.5 * 0.714 m/s² * (5.42 s)² = 33.972 m.

Therefore, the magnitude of the sailboard's displacement during the gust is 33.972 m.