SOLUTION: A toy rocket launched vertically into the air has position function
{{{s(t) = 96*sqrt(t) - 12t^2}}} , where s = 0 is the ground, s is measured in meters and t > 0 is measured in
Algebra ->
Graphs
-> SOLUTION: A toy rocket launched vertically into the air has position function
{{{s(t) = 96*sqrt(t) - 12t^2}}} , where s = 0 is the ground, s is measured in meters and t > 0 is measured in
Log On
Question 1162272: A toy rocket launched vertically into the air has position function , where s = 0 is the ground, s is measured in meters and t > 0 is measured in seconds.
(a) How many seconds does the rocket spend traveling upward?
(b) After how many seconds does the rocket return to the ground?
(c) What is the maximum height reached by the rocket? Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! A toy rocket launched vertically into the air has position function , where s = 0 is the ground, s is measured in meters and t > 0 is measured in seconds.
----------
Strange function, but OK.
---
(a) How many seconds does the rocket spend traveling upward?
Apx 1.587 seconds
Verify the function if you want an algebraic solution.
--------------------------
(b) After how many seconds does the rocket return to the ground?
---
At s(t) = 0:
---
64t = t^4
t = 4 seconds
=====================
(c) What is the maximum height reached by the rocket?
Apx 90.712 meters
Verify the function if you want an algebraic solution.
In these lessons, you will find standard problems and their standard solutions, related to this area.
Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.
Read them attentively and learn how to solve this type of problems once and for all.
