A ball is dropped from a height of 80 meters and bounces back to 70% of its previous height each time. What is the height after the third bounce?

Sat, 09 May 2026 12:45:10 +0000

**Why the Weight of a Fall Still Captivates Curiosity—And How a Ball’s Bounce Offers Outlook Insights**
Ever wondered what happens when a ball drops from 80 meters and rebounds with 70% of its previous height each time? This simple physics scenario fuels growing interest in predictive modeling and real-world dynamics. Beyond the bouncing motion lies a pattern that models decay in systems, drawing attention from educators, engineers, and curious learners across the U.S. As users seek clear, accurate explanations—free from clickbait—this question reveals broader interest in scientific literacy and practical understanding. Why does a ball drop 80 meters and bounce back only 70% each time? The answer lies in energy conservation and material properties. When released, gravity accelerates the ball, converting potential energy to kinetic energy—until impact springs it back. However, real materials aren’t perfectly elastic, so energy dissipates quickly: 70% return approximates how most rubber or foam-like substances behave, making this a realistic model for both physics education and trend analysis. To calculate the height after the third bounce, begin with the initial drop: 80 meters. After the first bounce, it rebounds to 70%:
80 × 0.7 = 56 meters.
The second bounce follows:
56 × 0.7 = 39.2 meters.
The third bounce reaches:
39.2 × 0.7 = 27.44 meters. This sequential multiplication clarifies the falling and bouncing pattern, grounding the phenomenon in tangible, repeatable math. The 27.44-meter measurement reflects both the decay trend and real-world physics limits, offering a factual anchor for deeper exploration.