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 five 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 = −4.82 ✕ 102 $/month2. Assuming a is constant, find the amount of time in months until the bank account is empty.
The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a person's bank account balance. The units of x would be dollars ($) 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 five 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 = −4.82 ✕ 102 $/month2. Assuming a is constant, find the amount of time in months until the bank account is empty.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section2.1: Average Velocity
Problem 2.1QQ: Under which of the following conditions is the magnitude of the average velocity of a particle...
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The kinematic equations can describe phenomena other than motion through space and time. Suppose x represents a person's bank account balance. The units of x would be dollars ($) 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 five 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 = −4.82 ✕ 102 $/month2.
Assuming a is constant, find the amount of time in months until the bank account is empty.HINT
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