Physics hot air balloon problem

In summary, a hot air balloon and a pellet both have the same altitude at two different times while the balloon is ascending at a constant speed and the pellet is fired straight up. Using the formula for displacement, it is possible to find the distance above ground level for these two points by solving two equations with two unknowns.
  • #1
jodo658
1
0
Physics problem...!

A hot air balloon is ascending straight up at a constant speed of 7.50 m/s. When the balloon is 15.0 m above the ground, a gun fires a pellet straight up from ground level with an initial speed of 38.0 m/s. Along the paths of the balloon and the pellet, there are two places where each of them has the same altitude at the same time. How far above ground level are these places? Enter the answers in the ascending order.

can anyone help me with this problem?? We just started one dimensional motion and the kinematic equations. and I'm trying to figure this one out ..but I can't...I figured out all my other ones and I'm pretty good at Physics..but I don't know why I can't figure this one out
 
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  • #2
Welcome to PF!

jodo658 said:
A hot air balloon is ascending straight up at a constant speed of 7.50 m/s. When the balloon is 15.0 m above the ground, a gun fires a pellet straight up from ground level with an initial speed of 38.0 m/s. Along the paths of the balloon and the pellet, there are two places where each of them has the same altitude at the same time. How far above ground level are these places? Enter the answers in the ascending order.

Hi jodo658! Welcome to PF! :smile:

Hint: What is the height of each at time t? :wink:
 
  • #3


Using the formula d=Vot+.5at2, you can see you have 2 unknows: d and t, but you also have 2 equation, so you can solve it.
 

Related to Physics hot air balloon problem

1. What is the physics behind a hot air balloon?

A hot air balloon works on the principle of buoyancy, which is a force that causes objects to float in a fluid. The hot air inside the balloon is less dense than the cooler air outside, creating an upward force that lifts the balloon off the ground.

2. How does the temperature of the air affect a hot air balloon?

The temperature of the air inside the balloon determines its buoyancy. As the temperature increases, the air molecules expand and become less dense, causing the balloon to rise. Conversely, as the temperature decreases, the air molecules contract and become more dense, causing the balloon to descend.

3. How does the size and shape of a hot air balloon affect its flight?

The size and shape of a hot air balloon play a crucial role in its flight. A larger balloon with a greater volume of hot air can lift more weight, while a smaller balloon will have less lift. The shape of the balloon also affects its aerodynamics, allowing it to maneuver and stay aloft in the air.

4. What are the safety precautions for operating a hot air balloon?

Operating a hot air balloon requires proper training and safety precautions. These include checking weather conditions, ensuring proper equipment and weight distribution, and following all regulations and guidelines. It is also important to have a backup plan and emergency procedures in case of unexpected situations.

5. How does wind affect the flight of a hot air balloon?

Wind can have a significant impact on the flight of a hot air balloon. The direction and speed of the wind can affect the balloon's trajectory and make it difficult to control. Pilots must carefully monitor wind conditions and adjust their flight path accordingly to ensure a safe and enjoyable ride.

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