/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 79 Whenever a certain ball is dropp... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 79 (page 616)

Whenever a certain ball is dropped, it always rebounds to a height60% of its original position. What is the total distance the ball travels before coming to rest when it is dropped from a height of 1 meter?

Short Answer

Expert verified

The total distance traveled by the ball before coming to the rest when it is dropped from a height of 1 meter is 4meter.

Step by step solution

01

Step 1. Given Information.

The ball after dropping rebounds to a height 60% of its original position.

The given figure is

02

Step 2. Find the distance the ball travels before coming to rest when it is dropped from a height of 1 meter.

To find the total distance traveled by the ball, let's first find the distance traveled by the ball before coming to rest, each successive bounce has two times 60%of the height as it involves up and down of the ball,

d=1+2脳1脳0.60+2脳1脳0.602+...d=1+2脳1脳0.601+0.6+0.62+...Usetheformulaofgeometricseriesa1-rd=1+2脳1脳0.6011-0.6d=1+1.210.4d=1+3d=4

Therefore, the total distance traveled by the ball before coming to the rest is4m.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Iflimk鈫�鈭�akbk=鈭�and鈭�k=1鈭�akconverges, explain why we cannot draw any conclusions about the behavior of鈭�k=1鈭�bk.

Use any convergence test from this section or the previous section to determine whether the series in Exercises 31鈥�48 converge or diverge. Explain how the series meets the hypotheses of the test you select.

鈭�k=1鈭�12k+7

Express each of the repeating decimals in Exercises 71鈥�78 as a geometric series and as the quotient of two integers reduced to lowest terms.

0.6345345...

Given a series 鈭�k=1鈭�ak, in general the divergence test is inconclusive when ak鈫�0. For a geometric series, however, if the limit of the terms of the series is zero, the series converges. Explain why.

Use either the divergence test or the integral test to determine whether the series in Exercises 32鈥�43 converge or diverge. Explain why the series meets the hypotheses of the test you select.

37.鈭�k=1鈭�lnkk
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.