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 one hundred 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 = −4.72 ✕ 102 $/month2.

Assuming a is constant, find the amount of time in months until the bank account is empty.

Answer 1

Here we use kinematics concept and derivative concept.