Solving River Flow Velocity: A Motorboat Problem

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SUMMARY

The discussion focuses on solving a motorboat problem involving flow velocity in a river. The motorboat travels downstream, overtakes a raft at Point A, and then returns after 60 minutes, passing the raft again 6 km from Point A. The key to solving this problem lies in establishing the fixed speed of the motorboat relative to the river and formulating equations for the boat's speed (v) and the time taken for the return journey (T). The constant duty of the engine simplifies the calculations, allowing for a clear determination of the flow velocity.

PREREQUISITES
  • Understanding of average speed and displacement concepts
  • Basic knowledge of average velocity calculations
  • Familiarity with motion equations in physics
  • Ability to set up and solve algebraic equations
NEXT STEPS
  • Study the principles of relative motion in fluid dynamics
  • Learn how to derive equations for motion involving constant speeds
  • Explore examples of similar problems involving boats and currents
  • Investigate the effects of varying flow velocities on travel times
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Students studying physics, particularly those focusing on kinematics and fluid dynamics, as well as educators seeking to explain concepts of relative motion and flow velocity in real-world scenarios.

abhikesbhat
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Homework Statement



A motorboat is going downstream overcame a raft at a Point A; t=60 min later it turned back and after some time passed the raft at a distance l=6km from point A. Find the flow velocity assuming the duty of the engine to be constant.

Homework Equations



Average Speed,Displacement, Average Velocity

The Attempt at a Solution


I drew a picture and got confused. I think I don't understand the question.
 
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abhikesbhat said:
A motorboat is going downstream overcame a raft at a Point A; t=60 min later it turned back and after some time passed the raft at a distance l=6km from point A. Find the flow velocity assuming the duty of the engine to be constant.

Hi abhikesbhat! :smile:

The raft is moving at the same speed as the river.

The boat is moving at a fixed speed relative to the river.

Call that fixed speed v, and the time for the second part of the boat's journey T, and write a couple of equations for v and T. :smile:
 

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