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Unformatted text preview: 2 is, since these units are to be interpreted as (m/s)/s--i.e. units of velocity per second.) From our past experience with the velocity function, we can now immediately write by analogy: a ( t ) = v' ( t ) , where a is the acceleration function and v is the velocity function. Recalling that v , in turn, is the time derivative of the position function x , we find that a ( t ) = x'' ( t ) . To compute the acceleration functions corresponding to different velocity or position functions, we repeat the same process illustrated above for finding velocity. For instance, in the case x ( t ) = at 2 + vt + c , v ( t ) = at + v , we find a ( t ) = v' ( t ) = a ! (This suggests some method to the seeming arbitrariness of writing the coefficient of t 2 in the equation for x ( t ) as a .)...
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This note was uploaded on 02/09/2012 for the course PHY PHY2053 taught by Professor Davidjudd during the Fall '10 term at Broward College.
- Fall '10