Lab Extension Post-Lab s Since the graph is linear and contains (0,0) cm v v t Velocity vs. Time cm s v # s t s Lab Extension Post-Lab s Since the graph is linear and contains (0,0) cm v v t Velocity vs. Time t cm s v # s v What does the slope of your v vs. t graph mean? The cart' s velocity increased t s # cm s every second. Lab Extension Post-Lab s cm v Velocity vs. Time Accelerati on a - the slope of a graph of v vs. t t - the rate of change of velocity v a t v t s Lab Extension Post-Lab s cm v v t cm s v # s Velocity vs. Time t v Units : cm cm cm cm 11 cm cm s cm ss 2 s s ss ss s t s Lab Extension Post-Lab s cm v v t Velocity vs. Time cm v # cm 22t t ss t v The y - intercept is negligible, meaning that when the t 0 s, the v 0 cm . s t s s m v Lab Extension Post-Lab What would change on the graph if you started the cart several centimeters BEFORE the 0 cm mark so that the disk is moving when recording begins? Velocity vs. Time Start at 25 cm then 0 cm vo t s Initial Velocity vo - The y - intercept of a graph of velocity vs. time. s m v Lab Extension Post-Lab v at vo Final Velocity v vo at vo One Dimensional, Uniformly (Constant) Accelerated Motion t s Lab Extension Post-Lab Compare the slope of the x vs. t 2 graph from the original Lab with the slope of the v vs. t graph from the Lab Extension. Slope of the x vs. t 2 graph Slope of the v vs. t graph from the original Lab from the Lab Extension 1 1 Accelerat ion a 2 2 Acceleration Fill in the blank for the meaning of the slope in the original Lab. When writing the original lab report, simply state that the slope is onehalf the acceleration. Proof v v at only when vo 0 Area under the curve x v t t 1 Area bh 2 1 xx tv 2 1 x xo t (at ) 2 1 2 x at only when vo 0 2 Proof x # xcm position vs. time y m xcm t s position vs. time 1 x a 2 2 t 2 x b t 2 If you graph displacement x vs. time squared t 2 2 t s 2 the slope must be 1 one - half the accelerati on a !!!! 2