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

Displacement=Vi*time+ 1/2 a*t^2


D=6.1i+ (.49)(cos35i+sin35j)
figure that up, take the square root of the sums of squares of the i components and j components.

Direction: arctan=jcomponent/icomponent to the leeward of the original course.

Answer 2

2.6m