How Does Wind Affect a Boat's Speed and Direction?

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Homework Help Overview

The discussion revolves around the effects of wind on a boat's speed and direction, specifically analyzing a scenario where a boat experiences an acceleration due to wind while traveling east.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of kinematic equations to determine the final velocity of the boat after a period of acceleration. There are attempts to calculate the final speed and direction based on initial conditions and acceleration.

Discussion Status

There are differing results from participants regarding the final velocity, indicating that multiple interpretations of the problem are being explored. Some participants question the validity of the calculations presented by others.

Contextual Notes

Participants are working under the constraints of a homework problem, which may limit the information available or the methods they can use. There is an emphasis on ensuring that units and calculations are consistent.

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A boat travels east at 5.0 m/s. A sudden gust of wind gives the boat an acceleration of (.80m/s^2, 40 degress north of east).
What is the boat's speed and direction 6.0 s later when the gust subsides.
 
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Try the equation:

[tex]V_f = V_i + a * t[/tex]


Vf= Final velocity
Vi= Initial velocity

a= accelration
t= time
 
It didn't work.
I applied the formula and had 9.8m/s
 
There's no way you could've gotten that answer.

I plugged in the inital and final velocity and the duration of the acceleration which was 6 seconds. The units check out. My results:

9.2 m/s at 19.5 degrees
 
How did you arrive at your solution?
 

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