River Boat Problem Explained | Time Ratio and Velocity

RIVER BOAT PROBLEM

ms and 8 ms, mmC

5

. A man directly crosses a river in time t₁ and swims down the current a distance equal to the width of the river in time 12. If u and be the speed of the current and the man respectively, show that 1:12::v+u
: v-u make YouTube description

Here’s a description for a YouTube video on the river boat problem:

Title: Solving the River Boat Problem | Physics Explained

Description:

In this video, we tackle a classic physics problem: the river boat problem! We explore how a man crossing a river can move directly across in time
t
1
t
1

and then swims down the current a distance equal to the river’s width in time
t
2
t
2

. If
u
u and
v
v represent the speed of the current and the man, respectively, we’ll demonstrate how the relationship
t
1
:
t
2
:
:
v
+
u
:
v
−
u
t
1

:t
2

::v+u:v−u holds.

We'll break down:

The concepts of relative velocity in a river-crossing scenario.
The conditions for moving directly across the river.
How time ratios and speed components relate in this setup.
This is perfect for physics students and enthusiasts looking to understand the principles of motion in water currents. Dive in, and let’s solve it together!

Chapters: 0:00 Intro to the River Boat Problem
1:15 Understanding Velocity Components
3:50 Solving for
t
1
:
t
2
t
1

:t
2

and Proof
7:00 Conclusion & Key Takeaways