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physics_chapter3notes

# physics_chapter3notes - Chapter 3 Motion in Two or Three...

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Chapter 3: Motion in Two or Three Dimensions 3.1 Position and Velocity Vectors Position vector ( r ) – a vector that goes from the origin of the coordinate system to the point P = + + r xi yj zk Average velocity ( vav ) – displacement divided by the time interval = - - = vav r2 r1t2 t1 ∆r∆t Instantaneous velocity ( v ) – instantaneous rate of change of position with time = = v lim∆t 0∆r∆t drdt o Components of instantaneous velocity: = vx dxdt = vy dydt = vz dzdt 3.2 The Acceleration Vector Acceleration vector ( a ) – changes in the velocity magnitude (that is, the speed) and changes in the direction of velocity (that is, the direction in which the particle is moving) Average acceleration ( aav ) – the change of velocity in a given time interval = - - = aav v2 v1t2 t1 ∆v∆t Instantaneous acceleration ( a ) – the instantaneous rate of change of velocity with time = = a lim∆t 0∆v∆t dvdt o Components of instantaneous acceleration: = ax dvxdt = vy dvydt = vz dvzdt

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physics_chapter3notes - Chapter 3 Motion in Two or Three...

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