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Initial velocity is the velocity of an object at the starting point of a time interval. It is often denoted by $v_0$ or $u$ in equations.
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Acceleration: The rate of change of velocity with respect to time, often denoted as $a(t)$.
Differential Equation: An equation that involves one or more functions and their derivatives.
Initial Condition: $A$ value that specifies the state of a system at the beginning of a process, used to solve differential equations uniquely.