SOLUTION: Graphing question, please help me find all values of {{{t}}} https://imgur.com/a/hOfk3ez

Algebra ->  Graphs -> SOLUTION: Graphing question, please help me find all values of {{{t}}} https://imgur.com/a/hOfk3ez      Log On


   



Question 1182234: Graphing question, please help me find all values of t
https://imgur.com/a/hOfk3ez

Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


h(t)=183t-16t^2

To find the times t when the height is 95, set h(t)=95 and solve.

95 = 183t-16t^2

That's a quadratic equation; solve by standard methods.

16t^2-183t+95=0

With those numbers, the quadratic is probably not factorable, so use the quadratic formula or a graphing calculator to find the answers. There will be two times -- one when the rocket is on the way up and another when it is on the way down.

Finish on your own -- you won't learn anything by having us finish the problem for you.


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

h=183t-16t%5E2
equal to zero to find the values of t
0=183t-16t%5E2....factor
0=t%28183-16t%29
solutions:
t=0
0=183-16t=>16t=183=>t=183%2F16=>t=183%2F16->exact solution
=>t=11.44->approximate solution