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kcirick is offline
Oct16-06, 11:35 AM
P: 54
Quote Quote by jtbell
All constant-acceleration problems can be solved using these two equations:

[tex]x = x_0 + v_0 t + \frac{1}{2} a t^2[/tex]

[tex]v = v_0 + a t[/tex]

All those other equations can be derived from these two. So if you practice how to apply these two equations to a wide variety of problems, you shouldn't have to worry about the other equations. You'll effectively be re-deriving them as necessary.

The one "catch" in using this method is that you sometimes have to solve two equations in two unknowns, so you may need to brush up on that.
On the side note, the equation (2) is just a derivative of equation (1). I.e.

[tex] \frac{dx}{dt} = \frac{d}{dt}\left(x_0 + v_0 t + \frac{1}{2} a t^2\right)[/tex]

[tex]\frac{dx}{dt} = v = v_0 + a t[/tex]

So if you know how to do derivative. You only need one equation