Given position and velocity, find acceleration

[canadiankeeg]

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

 

[Curious3141]

You have to post your attempt. Start with the equation of motion that's most relevant here.

 

[canadiankeeg]

sorry, wrong section its for a calculus class and we have to solve by integration and I am not sure where to start.

 

[Curious3141]

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?

 

[HallsofIvy]

You are expected to know that velocity is the derivative of position with respect to time and acceleration is the derivative of velocity.