Chapter 2, Problem 42P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a person’s bank account balance. The units of x would be dollars ($), and velocity v would give the rate at which the balance changes (in units of, for example,$/month). Acceleration would give the rate at which v changes. Suppose a person begins with ten thousand dollars in the bank. Initial money management, leads to no net change in the account balance so that v0 = 0. Unfortunately, management worsens over time so that a = −2.5 × 102 $/month2. Assuming a is constant, find the amount of time in months until the bank account is empty To determine The time taken until the bank account is empty. Explanation Given Info: The change in bank balance is$(âˆ’1.00Ã—104) and the acceleration is $(âˆ’2.5Ã—102)/month2 . Explanation: The formula used to calculate the change in balance is, t=2Î”xa Here, Î”x is the change in balance t is the time a is the acceleration Substitute$(âˆ’2.5Ã—102)/month2 for a and \$(âˆ’1

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