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Linear Kinematics - v = x/t - time rate change of position (m/s) a = v/t - time rate change of velocity (m/s/s) v - Change in velocity (in m/s) a - acceleration (in m/s/s)

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Example: A car goes from 0 to 27 m/s in 9.0 seconds, what is its acceleration? (show math, units, meaning, m/s/s, m/s 2, ms -2 ) a = v/t, a = (27 m/s)/(9.0 s) = 3.0 m/s/s 3.0 m/s/s

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Example: a = v/t A rocket accelerates at 4.5 “g” s. What time will it take to reach the speed of sound (Mach I = 343 m/s) from rest? 1 “g” = 9.81 m/s/s so 4.5 “g”s = (4.5)(9.81 m/s/s) = 44.145 m/s/s a = v/t, 44.145 m/s/s = (343 m/s)/t t = 7.7698… t = 7.8 s

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Whiteboards: Acceleration 11 | 2 | 3 | 4 | 52345

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A car speeds up from 0 to 21 m/s in 5.3 seconds. What is their acceleration? a = v/t a = (21 m/s)/(5.3 s) = 3.962264151 m/s/s 4.0 m/s/s

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A train can accelerate at.15 m/s/s. What time will it take to reach its top speed of 24 m/s from rest? 160 s a = v/t v = 24 m/s, a =.15 m/s/s,.:. t = 160 s 160 s

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What is the final speed if a person accelerates from rest at 32 f/s/s for 2.7 seconds? 86 f/s a = v/t t = 2.7 s, a = 32 f/s/s,.:. v = 86.4 f/s 86 f/s

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What is your acceleration if your velocity goes from 35 m/s to 20. m/s in 4.7 seconds? -3.2 m/s/s a = v/t v = -15 m/s, t = 4.7 s,.:. a = -3.1915 -3.2 m/s/s

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What is your final velocity if you are going 12 m/s and you accelerate at.48 m/s/s for the next 16 seconds? 20. m/s a = v/t a =.48 m/s/s, t = 16 s,.:. v = 7.68 m/s 12 m/s + 7.68 m/s = 19.68 m/s 20. m/s

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Aim: How do we use the kinematics formulas? Do Now: What is the difference between average velocity and instantaneous velocity? Quiz Tomorrow.

Aim: How do we use the kinematics formulas? Do Now: What is the difference between average velocity and instantaneous velocity? Quiz Tomorrow.

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