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Section 4.2 Two-Dimensional KinematicsA sailboat is
Chapter 4, Problem 6E(choose chapter or problem)
A sailboat is traveling east at 5.0 m/s. A sudden gust of wind gives the boat an acceleration = (0.80 m/s2, 40° north of east). What are the boat’s speed and direction 6.0 s later when the gust subsides?
Questions & Answers
QUESTION:
A sailboat is traveling east at 5.0 m/s. A sudden gust of wind gives the boat an acceleration = (0.80 m/s2, 40° north of east). What are the boat’s speed and direction 6.0 s later when the gust subsides?
ANSWER:
Step 1 of 3
A boat traveling toward the east is diverted by the wind flowing in the northeast direction. We are going to find the final speed of the boat.
Take east as \(+\mathrm{x}\) direction and north as \(+\mathrm{y}\) direction.
The initial speed in the \(\mathrm{x}\) direction \(\mathrm{v}_{0 \mathrm{r}}=5 \mathrm{~m} / \mathrm{s}\)
The initial speed in the \(\mathrm{y}\) direction \(\mathrm{v}_{0 \mathrm{y}}=0\)
The time taken \(\mathrm{t}=6 \mathrm{~s}\)
The acceleration of the wind \(\mathrm{a}=0.8 \mathrm{~m} / \mathrm{s}^{2}\) along \(40^{\circ}\) north of east