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   Unfortunately, management worsens over time so that   Assuming a is constant, find the amount of time in months until the bank account is empty.

HINT