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

  • Thread starter Thread starter guru
  • Start date Start date
  • Tags Tags
    Boat
Click For Summary
SUMMARY

The discussion centers on calculating a boat's speed and direction after experiencing a gust of wind. The boat initially travels east at 5.0 m/s and receives an acceleration of 0.80 m/s² at an angle of 40 degrees north of east for 6 seconds. The correct final velocity is determined to be 9.2 m/s at an angle of 19.5 degrees, contrary to an incorrect calculation of 9.8 m/s. The application of the equation V_f = V_i + a * t is essential for accurate results.

PREREQUISITES
  • Understanding of vector addition in physics
  • Familiarity with kinematic equations
  • Basic knowledge of trigonometry
  • Ability to perform unit conversions
NEXT STEPS
  • Study vector addition in two dimensions
  • Learn about kinematic equations in physics
  • Explore the concept of acceleration at angles
  • Practice problems involving motion under the influence of wind
USEFUL FOR

Students in physics, sailing enthusiasts, and anyone interested in understanding the effects of wind on boat navigation.

guru
Messages
38
Reaction score
0
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.
 
Last edited:
Physics news on Phys.org
Try the equation:

V_f = V_i + a * t


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?
 

Similar threads

Replies
25
Views
3K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
11
Views
2K
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
5K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 15 ·
Replies
15
Views
2K
Replies
3
Views
6K