Equations of Motion. Velocity-Time Equation v f =v i +at.

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Derivation of Kinematic Equations

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Presentation transcript:

Equations of Motion

Velocity-Time Equation v f =v i +at

 Position-Time equations  The position-time equation for constant velocity x f = x i + vt can be applied to situations in which velocity is changing by replacing the constant velocity with the average velocity v av : x f = x i + v av t  Expressing average velocity in terms of the initial and final velocities gives the equation to find the position of an accelerating object:.

  The area beneath the velocity-time curve for the motion of a boat may be separated into two parts: a rectangle and a triangle.

  Combing the position-time equation and the velocity-time equation yields an expression that relates position to acceleration and time

  Acceleration results in a change in velocity with position. The following equation relates initial and final velocities, change in position, and acceleration: