00:01
In this problem, we have an airplane that is on a runway, and we're told this runway has a distance of 2 ,000 meters.
00:09
And our plane, starting from rest, needs to reach a final speed of 233 kilometers per hour, that's a spot right there, excuse me, so that it can take off.
00:23
And we want to know what acceleration is necessary for this to happen.
00:27
The first thing we need to do is, since we have meters and kilometers, both, we need to convert this to meters per second so we can use them in the same equation.
00:36
To do that, the equation conversion factor, excuse me, is times 1 ,000 divided by 3 ,600.
00:43
And when you do this, you get approximately 64 .72 meters per second.
00:52
All right, so the equation you should be using for this, or a one -step equation, is final velocity squared, is equal to initial velocity squared, plus 2 times a acceleration times distance.
01:05
So let's go ahead and plug in our values...