anonymous
  • anonymous
A ball is dropped from a height of 3 ft. The elasticity of the ball is such that it always bounces up one-third the distance it has fallen. (a) Find the total distance the ball has traveled at the instant it hits the ground the fourth time. (Enter your answer as an improper fraction.)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
When the ball hits the ground the first time it will have bounced up a third of the initial 3 feet, which is 1 foot. Similarly, the second time it bounces, it will have bounced a third of 1, which is 1/3. The third time, it will bounce 1/9. This question is asking for the total distance the ball traveled so: Drop 1 = 3 ft. Bounce after drop 1 = .3 ft Drop 2 = .3 ft Bounce after drop 2 = .1 ft Drop 3 = .1 ft Bounce after drop 3 = .03 ft Drop 4 = .03 ft. The instant the ball hits the ground for the 4th time is after drop 4. Adding these distances up, we get: 3+ .3+.3+.1+.1+.03+.03 = approximately 3.9 ft
anonymous
  • anonymous
Correction: I skipped from 3 ft to 1/3 ft (skipping 1 ft) by mistake Keeping these as fractions, your answer should actually be \[3+1+1+1/3+1/3+1/9+1/9=53/9\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.