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College Physics

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

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BuyFindarrow_forward

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 $(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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