Given position and velocity, find acceleration

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Homework Help Overview

The problem involves determining the acceleration of an airplane that starts from rest and requires a specific distance of runway before taking off at a given velocity. The subject area pertains to kinematics and calculus, particularly focusing on motion equations and integration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to start with relevant equations of motion and the relationship between acceleration, velocity, and time. There are attempts to clarify the integration process required for solving the problem.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the use of differential forms and the application of the Chain Rule, but no consensus has been reached on a specific method or solution.

Contextual Notes

Participants note that the problem is situated within a calculus context, which imposes certain requirements on the methods used, specifically mentioning the need for integration.

canadiankeeg
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Homework Statement



An airplane has a constant acceleration while moving down the runway from rest.
What is the acceleration of the plane if it requires 800 ft. of runway before lifting o
at 100 ft./sec.?

Homework Equations





The Attempt at a Solution

 
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You have to post your attempt. Start with the equation of motion that's most relevant here.
 
sorry, wrong section its for a calculus class and we have to solve by integration and I am not sure where to start.
 
canadiankeeg said:
sorry, wrong section its for a calculus class and we have to solve by integration and I am not sure where to start.

OK, then, start by writing down the relationship between acceleration, velocity and time in differential form.

Then apply Chain Rule to bring displacement into there somewhere. There's more to do, but why don't you start with this?
 
You are expected to know that velocity is the derivative of position with respect to time and acceleration is the derivative of velocity.
 

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