Question

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 hundred dollars in the bank. Initial money management leads to no net change in the account balance so that
$v_{0}$ = 0.
Unfortunately, management worsens over time so that
a = −2.77 ✕ $10^{2}$ $/ $month^{2}$
Assuming a is constant, find the amount of time in months until the bank account is empty.

Answer 1

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