Help with related rates problem

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Homework Help Overview

The problem involves a 16-ft ladder sliding down a wall at a rate of 4 ft/sec, with the goal of finding the velocity of the top of the ladder at a specific time, t=s, given that the bottom of the ladder is 5 ft from the wall at t=0. This falls under the subject area of related rates in calculus.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to incorporate t=s into the problem and whether to solve for dx/dt or dy/dt. They also question if they are on the right track. Another participant notes similarities to a problem in their notes but highlights differences that may affect the approach.

Discussion Status

The discussion includes attempts to clarify the setup and the relationships between the variables involved. While some guidance is being offered, there is no explicit consensus on the approach to take, and the original poster has indicated urgency due to a deadline.

Contextual Notes

The original poster mentions a time constraint, as the assignment is due in a few hours, which may influence the depth of the discussion and the responses received.

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Homework Statement



A 16-ft ladder is sliding down a wall at a rate of 4 ft/sec. Find the velocity of the top of the ladder at t=s if the bottom is 5ft from the wall at t=0.

Homework Equations



It's a related rates problem.
Not sure how I'm supposed to incorporate t=s into the problem, or if I'm supposed to solve for dx/dt or dy/dt.
Or if I'm even on the right track.

The Attempt at a Solution



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Last edited:
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Thought I would add, this is a similar problem that was in my notes, but there are differences between the two problems such as the direction the rate of the ladder is sliding and I have to find it at t=s.

16bmzie.jpg
 
This is due in a few hours I hope I get a response by then.
 
Just turned it in, thanks for the help everybody :)
 

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