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Mathematical Application. Changing Motion. Constant Motion vs Changing Motion. acceleration. change in velocity. ∆v. v f. v i. ∆t. a. Rematch. Example1. ∆v. (draw picture). G: .
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Mathematical Application Changing Motion
acceleration change in velocity ∆v vf vi ∆t a
Example1 ∆v (draw picture) G: A car driving east at 33 m/s accelerates to a velocity of 42 m/s in 6.0 seconds. What is the car’s acceleration? vi vf ∆t a U: E: E: S: S: S: S:
Example 2 ∆v G: (draw picture) A second car, also driving east, has a velocity of 20 m/s. It accelerates to a velocity of 50 m/s in 15 seconds. What is the second car’s acceleration? vi vf ∆t a U: E: S: S:
Example 3 ∆v G: (draw picture) A runner starts from rest and accelerates at 1.6 m/s2. How fast is he running after 4.8 seconds? vi vf ∆t U: a E: S: S:
Example 4 (draw picture) A man driving his car at 54 m/s sees a deer in the road 250 meters away. He slams his brakes and accelerates at -6.4m/s2. Does the man stop before he hits the deer? a
A man driving his car at 54 m/s sees a deer in the road 250 meters away. He slams his brakes and accelerates at -6.4m/s2. Does the man stop before he hits the deer? Example 4 G: S: U: E: S:
Summary variables formulas distance initial position final position displacement initial time final time time interval velocity initial velocity final velocity change in velocity acceleration