Question

You're sailboarding at 6.1m/s when a wind gust hits, lasting 6.8s accelerating your board at 0.49m/s2 at a 35∘ to your original direction.

1. Find the magnitude of your displacement during the gust.
Express your answer using two significant figures.

2. Find direction of your displacement during the gust.
Express your answer using two significant figures.

Answer 1

1. D = Vo*t + 0.5a*t^2 =
6.1*6.8 * 0.5*0.49[35o]*6.8^2 = 41.48 +
11.33[35o] = 41.48 + 9.28+6.5.0i =
50.76 + 6.5i

D^2 = 50.76^2 + 6.5^2 = 2618.3
D = 51 m.

2. Tan A = Y/X = 6.5/50.76 = 0.12805
A = 7.3o = Direction.