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1016 Notes

# 1016 Notes - 2-Dimensional Motion(with Constant...

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10/16/09 Oregon State University PH 201, Lecture #9 2-Dimensional Motion (with Constant Acceleration) The four equations of kinematics help us describe and calculate the motion of any object undergoing constant acceleration (including zero acceleration) with respect to any single axis. But what if that object is moving relative to two axes at once? The vector nature of displacement, velocity and acceleration let us calculate the x- and y- motions separately. For the motion along each axis, we use the respective vector components ( ± x , v x.i , v x.f , and a x or ± y , v y.i , v y.f , and a y ). The one consistent connection between the two parts of the motion is time : We’re talking about one object, so the same time interval, ± t , applies to both x - and y - motions.

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10/16/09 Oregon State University PH 201, Lecture #9 x-motion y-motion v x.f = v x.i + a x ( ± t ) v y.f = v y.i + a y ( ± t ) ± x = ( 1 / 2 )( v x.i + v x.f ) ± t ± y = ( 1 / 2 )( v y.i + v y.f ) ± t ± x = v x.i ( ± t )+( 1 / 2 ) a x ( ± t ) 2 ± y = v y.i ( ± t )+( 1 / 2 ) a y ( ± t ) 2 v x.f 2 = v x.i 2 +2 a x ( ± x ) v y.f 2 = v y.i
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