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Lecture2

# Lecture2 - Definition Average Velocity(Speed saverage =...

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Definition Average Velocity (Speed) s average = average speed = (distance / time interval) = d / Δ t scalar v average = Average velocity = (displacement / time interval) = Δ r / Δ t vector Distance, d = 2 π R Displacement , Δ r = 0 Example : Δ t =10 sec R = 2m R s = 12 m / 10 sec = 1.2 m/s s = d/ Δ t v = Δ r/ Δ t v = 0

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Relating position to velocity v av = Δ r / Δ t Δ r and v always same direction Δ r v Δ r = v av Δ t s av = d / Δ t d = s av Δ t Convention: sign of position and velocity Position 0 x > 0 x 0 x x < 0 Velocity v x > 0 Direction of motion v x < 0 Direction of motion
Definition Average Acceleration a average = average acceleration = (change velocity / time interval) a av = Δ v / Δ t a av Δ v same direction as NOT v Does | v | = cost imply a = 0 ? NO Example | v 1 | | v 2 | | v 1 | = | v 2 | same magnitude but opposite direction Δ v = 0 Δ v = a av Δ t Remember: Velocity is a VECTOR! a = 0 IF : Change magnitude and/or Change direction a and v have same direction only in one dimension

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Convention: sign of acceleration (1D) a x > 0 Acceleration vector point to the right a x a x < 0 Acceleration vector point to the left a x IMPORTANT: a < 0 DOES NOT mean slowing down a > 0
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Lecture2 - Definition Average Velocity(Speed saverage =...

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