   Chapter 2, Problem 42P

Chapter
Section
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 $/month2. Assuming a is constant, find the amount of time in months until the bank account is empty To determine The time taken until the bank account is empty. Explanation Given Info: The change in bank balance is$(1.00×104) and the acceleration is $(2.5×102)/month2 . Explanation: The formula used to calculate the change in balance is, t=2Δxa Here, Δx is the change in balance t is the time a is the acceleration Substitute$(2.5×102)/month2 for a and \$(1

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