A river flows with a velocity of 3 m/s east

  • Context: Undergrad 
  • Thread starter Thread starter AimlessWander
  • Start date Start date
  • Tags Tags
    River Velocity
Click For Summary
SUMMARY

The discussion centers on calculating the downstream displacement of a boat crossing a river. The river flows at a velocity of 3 m/s east, while the boat travels at 10 m/s due north across a 300 m wide river. By applying kinematics formulas, the time taken to cross the river is determined, and this time is then used to calculate how far the boat drifts downstream due to the river's current.

PREREQUISITES
  • Kinematics formulas for motion in two dimensions
  • Understanding of relative velocity concepts
  • Basic knowledge of vector addition
  • Familiarity with units of speed and distance
NEXT STEPS
  • Calculate the time taken to cross a river using the formula: time = distance/speed
  • Learn how to apply vector addition to determine resultant displacement
  • Explore the effects of current on navigation for boats
  • Study real-world applications of kinematics in fluid dynamics
USEFUL FOR

Students studying physics, particularly in kinematics, boat operators navigating rivers, and anyone interested in understanding the effects of currents on movement across water bodies.

AimlessWander
Messages
15
Reaction score
0
A river flows with a velocity of 3 m/s east. The river is 300 m wide. A boat is moving 10 m/s due north. If the river flow is not corrected for, how far will the boat have moved downstream by the time is reaches the far shore?
 
Physics news on Phys.org
AimlessWander said:
A river flows with a velocity of 3 m/s east. The river is 300 m wide. A boat is moving 10 m/s due north. If the river flow is not corrected for, how far will the boat have moved downstream by the time is reaches the far shore?

You want to go to homework help for this kind of thing. I'll go ahead and give you a pointer since it's 3am and I doubt anyone else is awake:

Just look at your kinematics formulas.
1) Find the time it takes to cross the river at 10m/s, ignoring cross movement.
2) Then use that time value to see how far the boat will move downstream if it's going 3m/s.
 
Thank you :) Sorry, I just realized I posted in the wrong place.
 

Similar threads

Why do almost all rivers in the world flow North to South?
  • · Replies 40 ·
2
Replies
40
Views
14K
High School How do you calculate resultant velocity?
  • · Replies 1 ·
Replies
1
Views
3K
At what angle must the boat travel so that it moves in a straight line
  • · Replies 25 ·
Replies
25
Views
3K
High School Need help explaining river-boat problems
  • · Replies 26 ·
Replies
26
Views
7K
Adding Vectors to Find Velocity
  • · Replies 16 ·
Replies
16
Views
3K
Relative Velocity: How Far Will the Boat Move Downstream Without Correction?
  • · Replies 1 ·
Replies
1
Views
1K
A ferry boat is crossing a river that is 8.5 x 10^2 m wide.
  • · Replies 5 ·
Replies
5
Views
3K
Simple Vector Boat Problem, Conceptual Misunderstanding
  • · Replies 2 ·
Replies
2
Views
2K
Needs clarity on this displacement vector diagram
  • · Replies 3 ·
Replies
3
Views
1K
Vectors Question using Calculus -- Swimmer crossing a River
  • · Replies 30 ·
2
Replies
30
Views
5K