Given position and velocity, find acceleration

AI Thread Summary
To find the acceleration of an airplane that accelerates uniformly from rest over 800 feet to a speed of 100 ft/sec, the relevant equations of motion must be applied. The relationship between acceleration, velocity, and time can be expressed in differential form, utilizing the Chain Rule to incorporate displacement. The solution involves integrating these relationships to derive the acceleration. The key is to recognize that velocity is the derivative of position with respect to time, while acceleration is the derivative of velocity. Proper application of calculus principles will lead to the correct determination of acceleration.
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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