High School

We appreciate your visit to Ayub drops a ball from a height of 6 25 meters to the flat ground below After the third bounce the ball rises to a. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Ayub drops a ball from a height of 6.25 meters to the flat ground below. After the third bounce, the ball rises to a height of 40 cm. The height to which the ball rises after each bounce is the same fraction of the height reached on its previous bounce. What is the fraction?

A. 1/2
B. 2/5
C. 5/8
D. 39/125​

Answer :

Final answer:

The ball loses around 40% (or 2/5) of its previous bounce's height with each subsequent bounce. So, option B is correct.

Explanation:

This problem involves exponential decay in height for each bounce of the ball, and can be solved mathematically. The ball initially drops from a height of 6.25 metres, and after 3 bounces, it reaches a height of 40cm, which is equivalent to 0.4 metres. Because the height the ball reaches after each bounce is directly proportional to the height it reached on its previous one, by a factor we'll call F, then we can express its height after 3 bounces like this: **6.25 * F^3 = 0.4**.

To find F, the multiplying fraction, solve for F by taking the cube root of (0.4 / 6.25) = F, which rounds to **0.4**. So, the ball loses around 40% of its height with each bounce, which fits with choice B. 2/5, equal to 0.4 when expressed as a decimal.

Learn more about Exponential Decay here:

https://brainly.com/question/12900684

#SPJ11

Thanks for taking the time to read Ayub drops a ball from a height of 6 25 meters to the flat ground below After the third bounce the ball rises to a. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada