|Sep22-12, 12:58 PM||#1|
1. The problem statement, all variables and given/known data
Question: A hot-air balloon is ascending at the rate of 12m/s and is 80m above the ground when a package is dropped over the side.
a.)How long does the package take to reach the ground? b.)With what speed does it hit the ground?
2. Relevant equations
I know -- acceleration = -9.8 Initial velocity = 12 m/s and initial height = 80 m.
I know I have to use this formula
Xf = Vo + 1/2 (g) (T)2
Vo = 12 m/s
Xf = 80 m
g = -9.8 m/s2
I set Xf to 0.
How would I find Time?
|Sep22-12, 01:04 PM||#2|
Blog Entries: 1
Xf = Xo + Vo(T) - 1/2 (g) (T)2
where g = 9.8 m/s2
|Sep23-12, 01:19 PM||#3|
How would I go on about doing that? I cant seem to get T by itself in this equation.
|Sep23-12, 03:26 PM||#4|
Here is the equation you get:
x_f = 80 + 12t - 4.9tē
atē + bt + c = 0 OR c + bt + atē = 0
t = (-b ą √(bē - 4ac))/(2a)
t = (-b + √(bē - 4ac))/(2a) or t = (-b - √(bē - 4ac))/(2a)
By letting the corresponding values be the a, b, c variables and then, solving for t, you should get the answer (it must be positive!).
|Similar discussions for: Balloon problem|
|Does a balloon's temperature increase when a balloon is popped?||Introductory Physics Homework||4|
|Helium balloon problem?||General Physics||13|
|Balloon Problem||Calculus & Beyond Homework||5|
|BALLOON PROBLEM. please please help :)||Introductory Physics Homework||6|
|another balloon problem||Introductory Physics Homework||1|