Home | Algebra | Patterns | Recommended Investigations | Hot Air Balloons

Hot air balloons

A hot air balloon moves up 200 feet during its first minute of flight. Then it will continue to rise each minute thereafter for a distance of 80% of the distance traveled the previous minute. If you ignore air pressure, will the balloon fly out into space (in other words, will it rise indefinitely)? Explain why or why not.

 Related External Resources

Pancake Man
Determine how many pancakes a person eats if his / her intake doubles every ten minutes.

The Tortoise and the Hare Race
This investigation examines the process of a race through Zeno's paradox. Investigation questions are provided.

Visualizing an Infinite Series
View the consecutive terms of a geometric series in terms of the areas of segmented trapezoids.

Submit your idea for an investigation to InterMath.