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Algebraic Derivation of Kinematic Equations of Motion
These derivations are simple rearrangement of variables to solve for each variable. Solve for initial velocity (v_0): Solve for final velocity (v): Solve for acceleration (a): Solve for time (t):
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The First Kinematic Equation of Motion
The First Kinematic Equation of Motion is derived from the definition of acceleration, which is the rate of change of velocity with respect to time. If an object starts with an initial velocity v_o, and undergoes a constant acceleration a for a…
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The Equation of Motion
The second law of motion in differential form. This equation is known as the equation of motion, or the second law of motion in differential form. It is a differential equation that describes the relationship between the net force acting on an…