The kinematic equations can describe phenomena other thanmotion through space and time. Suppose x represents a person’sbank account balance. The units of x would be dollars($), and velocity v would give the rate at which the balancechanges (in units of, for example, $/month). Accelerationwould give the rate at which v changes. Suppose a personbegins with ten thousand dollars in the bank. Initial moneymanagement leads to no net change in the account balance sothat v0 =0. Unfortunately, management worsens over time sothat a = -2.5 x 102 $/month2. Assuming a is constant, findthe amount of time in months until the bank account is empty.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
The
motion through space and time. Suppose x represents a person’s
bank account balance. The units of x would be dollars
($), 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 x 102 $/month2. Assuming a is constant, find
the amount of time in months until the bank account is empty.
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