1. ## Vertical motion problem?

I'm pretty sure it needs to be solved through row echelon, but I've tried multiple times and can't seem to work this thing out..can anyone help me?

Problem:
Find the position equation for s=(1/2)at^2+vt+so

At t=1 second, s=128 feet
At t=2 seconds, s=80 ft.
At t=3 seconds, s=0 ft.

Please and thank you if anyone helps! :x

2. Originally Posted by flyingsquid
I'm pretty sure it needs to be solved through row echelon, but I've tried multiple times and can't seem to work this thing out..can anyone help me?

Problem:
Find the position equation for s=(1/2)at^2+vt+so

At t=1 second, s=128 feet
At t=2 seconds, s=80 ft.
At t=3 seconds, s=0 ft.

Please and thank you if anyone helps! :x
Solve this system for a v and $s_0$

t=1 $\iff128=\frac{1}{2}a+v+s_0$

t=2 $\iff 80=2a+2v+s_0$

t=3 $\iff 0= \frac{9}{2}a+3v+s_0$