A hot air balloon has just lifted off and is rising at the constant

In summary, the problem involves a hot air balloon rising at a constant rate of 1.6 m/s and a camera being tossed upward with an initial speed of 10.8 m/s by a friend on the ground. The passenger in the balloon is 2.5 m above her friend when the camera is tossed. Using kinematic equations for one-dimensional motion, the height of the passenger when the camera reaches her can be calculated by setting the final position of the camera and balloon equal to each other.
  • #1
nc1617
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Homework Statement


A hot air balloon has just lifted off and is rising at the constant rate of 1.6 m/s. Suddenly, one of the passengers realizes she has left her camera on the ground. A friend picks it up and tosses it straight upward with an initial speed of 10.8 m/s. If the passenger is 2.5 m above her friend when the camera is tossed, how high is she when the camera reaches her?

Homework Equations


i tried using constant acceleration equations but they made no sense :(

The Attempt at a Solution


its 2.8 something... but i just really want to know how to set up the problem!
Thanks
 
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  • #2


Since you have a constant acceleration due to gravity for the camera, a known initial velocity both objects, and a known initial position (of 0 for the camera and 2.5m for the balloon) and all of your motion is in the same dimension (vertical), you can set use the kinematic equations for one-dimensional motion to find out what height the camera reaches the gal in the balloon.

(Try setting the final position of the camera & the balloon equal to each other, which will let you set the equations for the different objects equal to each other.)
 

Related to A hot air balloon has just lifted off and is rising at the constant

1. What causes a hot air balloon to lift off and rise?

A hot air balloon is able to lift off and rise due to the principle of buoyancy. The hot air inside the balloon is less dense than the surrounding cold air, causing it to rise and carry the balloon with it.

2. How does a hot air balloon maintain a constant rate of ascent?

A hot air balloon maintains a constant rate of ascent by controlling the temperature of the air inside the balloon. By adjusting the temperature, the pilot can control the amount of lift and therefore the rate of ascent.

3. What happens to the temperature of the air inside the hot air balloon as it rises?

The temperature of the air inside the hot air balloon decreases as it rises. This is because the air pressure decreases with altitude, causing the air molecules to spread out and cool down.

4. Why is it important to monitor the weather conditions when flying a hot air balloon?

Monitoring weather conditions is crucial when flying a hot air balloon because factors such as wind speed, direction, and temperature can greatly affect the flight path and safety of the balloon. Changes in weather can also impact the temperature and density of the air inside the balloon, affecting its lift and rate of ascent.

5. What are the potential dangers of flying a hot air balloon?

The potential dangers of flying a hot air balloon include changing weather conditions, power lines, and other obstacles that could interfere with the flight path. In addition, improper temperature control or equipment malfunction could also pose a safety risk. It is important for pilots to undergo thorough training and follow safety protocols to minimize these risks.

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