SOLUTION: s(t) = −16t2 + v0t + s0. If s(1) = 94 and s(4) = 79, what are v0 and s0?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: s(t) = −16t2 + v0t + s0. If s(1) = 94 and s(4) = 79, what are v0 and s0?      Log On


   



Question 916177: s(t) = −16t2 + v0t + s0.
If s(1) = 94 and s(4) = 79, what are v0 and s0?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
s%28t%29=-16t%5E2%2Bv%5B0%5Dt%2Bs%5B0%5D
s%281%29=-16%281%29%5E2%2Bv%5B0%5D%281%29%2Bs%5B0%5D=94
-16%2Bv%5B0%5D%2Bs%5B0%5D=94
1.v%5B0%5D%2Bs%5B0%5D=110
.
.
.
s%284%29=-16%284%29%5E2%2Bv%5B0%5D%2A4%2Bs%5B0%5D=79
-256%2B4v%5B0%5D%2Bs%5B0%5D=79
2.4v%5B0%5D%2Bs%5B0%5D=335
Subtract eq. 1 from eq. 2,
4v%5B0%5D%2Bs%5B0%5D-v%5B0%5D-s%5B0%5D=335-110
3v%5B0%5D=225
v%5B0%5D=225
v%5B0%5D=75
Then,
75%2Bs%5B0%5D=110
s%5B0%5D=35