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2.2 Acceleration Physics A

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**Objectives I can describe motion in terms of changing velocity.**

I can compare graphical representations of accelerated and non-accelerated motions. I can apply kinematic equations to calculate distance, time or velocity under conditions of constant acceleration.

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**What are the units on acceleration?**

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**Tip: Watch for implied data in the problems.**

Practice Problem 1 With an average acceleration of -1.2 m/s2, how long will it take a cyclist to bring a bicycle with an initial speed of 6.5 m/s to a complete stop? Tip: Watch for implied data in the problems.

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**At the bottom of page 50 1, 2, and 3**

Conceptual Challenge At the bottom of page 50 1, 2, and 3

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Identify which values represent: speeding up, slowing down, constant velocity, speeding up from rest, or remaining at rest. Table Velocity and Acceleration vi a Motion + - - or +

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**Analyze the Following Graph**

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Velocity vs. Time Graph

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**For cases with constant acceleration**

𝑣 𝑎𝑣𝑔 = 𝑣 𝑖 − 𝑣 𝑓 2 & 𝑣 𝑎𝑣𝑔 = ∆𝑥 ∆𝑡 Set these two equations equal to one another and solve for Δx.

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**Displacement with Constant Acceleration**

∆𝑥= 𝑣 𝑖 − 𝑣 𝑓 ∆𝑡

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Practice C 1. A car accelerates uniformly from rest to a speed of 6.6 m/s in 6.5 s. Find the distance the car travels during this time.

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**More useful equations:**

We know: 𝑎= ∆𝑣 ∆𝑡 = 𝑣 𝑓 − 𝑣 𝑖 ∆𝑡 Solve for 𝑣 𝑓 in terms of a.

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**Velocity with Constant Acceleration**

𝑣 𝑓 = 𝑣 𝑖 +𝑎∆𝑡

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One more… We know: ∆𝑥= 1 2 𝑣 𝑖 + 𝑣 𝑓 ∆𝑡 & 𝑣 𝑓 = 𝑣 𝑖 +𝑎∆𝑡 Solve for a new Δx.

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**Displacement with Constant Acceleration**

∆𝑥= 𝑣 𝑖 ∆𝑡+ 1 2 𝑎 ∆𝑡 2

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Practice D Do problems 1-4

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**Final Velocity after any Displacement**

vf2 = vi2 + 2aΔx

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Practice E Problems 2 & 4

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**Equations for Constantly Accelerating 1-D Motion**

∆𝑥= 𝑣 𝑖 − 𝑣 𝑓 𝑣 𝑓 = 𝑣 𝑖 +𝑎∆𝑡 ∆𝑥= 𝑣 𝑖 ∆𝑡+ 1 2 𝑎 ∆𝑡 2 vf2 = vi2 + 2aΔx

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