How long does it take for a package to fall from a hot-air balloon?

In summary, a hot-air balloon ascending at a rate of 13 m/s and 90 m above the ground drops a package. It takes the package approximately 6.92 seconds to reach the ground and hits the ground at a speed of approximately 42.18 m/s, with a negative sign indicating downward motion. This was calculated using the equation vf^2=vi^2+2*a*d, where vi=13 m/s and d=90 m.
  • #1
suxatphysix
30
0

Homework Statement


A hot-air balloon is ascending at the rate of 13 m/s and is 90 m 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?



Homework Equations






The Attempt at a Solution



Tried 2a[tex]\Delta[/tex]y=Vf[tex]^{2}[/tex]-vi[tex]^{2}[/tex]

I don't know if the initial velocity is 0 or 13m/s
 
Physics news on Phys.org
  • #2
If the balloon is ascending at 13m/s, then vi=13m/s (with the sign convention that upwards is positive). Try using the equation y=vi*t+0.5a*t^2.
 
  • #3
thanks, got part a right.

for b, I'm getting 42.18. is that right and would it be negative if it is going down?
used vf= vi + a*t and vf^2=vi^2+2*a*d
 
  • #4
suxatphysix said:
thanks, got part a right.

for b, I'm getting 42.18. is that right and would it be negative if it is going down?
used vf= vi + a*t and vf^2=vi^2+2*a*d

Yes and yes; although you only need to use the second equation.
 
  • #5
ty got it right
 

1. What is free fall acceleration?

Free fall acceleration, also known as gravitational acceleration, is the acceleration experienced by an object when it falls freely under the influence of gravity. It is a constant value on Earth, with a magnitude of approximately 9.8 meters per second squared (m/s^2).

2. What factors affect free fall acceleration?

The only factor that affects free fall acceleration is the strength of the gravitational force, which is determined by the mass and distance between two objects. On Earth, the mass of the planet and the distance from the object to the center of the Earth both play a role in determining the value of free fall acceleration.

3. How is free fall acceleration calculated?

Free fall acceleration can be calculated using the formula a = g, where a is the acceleration and g is the gravitational constant, approximately equal to 9.8 m/s^2 on Earth. This formula only applies in idealized situations, as factors such as air resistance can affect the actual acceleration of an object in free fall.

4. What is the difference between free fall and terminal velocity?

Free fall is the motion of an object only under the influence of gravity, while terminal velocity is the maximum velocity that an object can reach when falling due to the balance between gravity and air resistance. In free fall, an object will continue to accelerate until it reaches terminal velocity, at which point the acceleration becomes zero.

5. How does free fall acceleration vary on different planets?

Free fall acceleration varies on different planets depending on their mass and radius. The higher the mass and radius of a planet, the stronger the gravitational force and therefore the higher the free fall acceleration. For example, on the surface of the Moon, free fall acceleration is only 1.6 m/s^2 compared to 9.8 m/s^2 on Earth.

Similar threads

  • Introductory Physics Homework Help
Replies
32
Views
3K
  • Introductory Physics Homework Help
Replies
34
Views
3K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
3K
  • Introductory Physics Homework Help
Replies
1
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
988
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
18
Views
6K
Back
Top