Motion at Constant Acceleration Question 2

AI Thread Summary
To determine the runway length needed for a light plane to reach a takeoff speed of 33 m/s with a constant acceleration of 3.0 m/s², the appropriate kinematic equation is vf² = Vi² + 2ad. Given that the initial velocity (Vi) is 0, the equation simplifies to d = vf² / (2a). Substituting the values, the required distance (d) is calculated to be 1.8 meters. However, there was a confusion regarding units, as the correct answer should be expressed in meters, not meters per second.
Adrianna
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Homework Statement


A light plane must reach a speed of 33 m/s for takeoff. How long a runway is needed if the (constant) acceleration is 3.0m/s^2?


Homework Equations


I looked at the Kinematics Equations and tried to re-arrange them to be able to find the distance with what I was given.


The Attempt at a Solution


I am not sure how to start it, this is always my problem I can't seem to figure out what formula to use.
 
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Adrianna said:

Homework Statement


A light plane must reach a speed of 33 m/s for takeoff. How long a runway is needed if the (constant) acceleration is 3.0m/s^2?


The Attempt at a Solution


I am not sure how to start it, this is always my problem I can't seem to figure out what formula to use.

You have a final velocity, an initial velocity (the plane should be at rest) and an acceleration. You want to find a displacement.

Which of the kinematic equation contains those 4 quantities?
 
vf^2 = Vi^2 +2ad...?
 
Adrianna said:
vf^2 = Vi^2 +2ad...?

So when you use that, what do you get for 'd'?
 
v^2 = 0 * 2as
where v is final velocity, a is acceleration and s is the distance
 
I got 1.8 m/s and that's the right answer thanks so much for the help
 
Adrianna said:
I got 1.8 m/s and that's the right answer thanks so much for the help

you mean you got 1.8m. m/s are the units for velocity.
 
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