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Chapter 9, "Derivative Approach to Motion in One Dimension"Average Velocity
equals the slope between two points on position v . Time graph for any time interval a t b . Instantaneous Velocity
at t = a for any function f ( t ) that gives position as a function of time. Instantaneous Velocityv = f '( t ) for any position equation that's a function of time, f ( t ). Average Acceleration
equals the slope between two points on velocity v . Time graph for any time interval a t b . Instantaneous Acceleration
for any function f ( t ) that gives velocity as a function of time. Instantaneous Accelerationa = v '( t ) for any velocity equation that's a function of time, v ( t ). Instantaneous Accelerationa = v '( t ) = y ''( t ) for any velocity equation that's a function of time, v ( t ), and any position equation that's a function of time, y ( t ). |
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