Acceleration Notes

Acceleration Notes - Acceleration: Rate of change of...

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1 OF 25 Acceleration: Rate of change of velocity. Change in velocity ÷ change in time Δ v/ t Δ U n i t s o f m / s 2 or ft/s 2 or miles/hour 2 A car accelerates from 50 to 60 m/s in 5 secs. What is the acceleration? (60-50 m/s) ÷ 5 secs = 2m/s 2 or 10 m secs 5 secs
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2 OF 25 Derivations for Acceleration a = Δ v/ t Δ = v – v 0 / t – 0 At t = 0 v = v 0 + at From a graph of velocity versus time, the area under the curve represents the displacement. Displacement is x .
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3 OF 25 0 1 2 3 4 5 6 7 0246 Time Velocity
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4 OF 25 displacement, or x = v 0 t + ½at 2 v 0 t from the constant velocity component ½at 2 from the displacement from acceleration Using the equation: A car starts from rest and travels 1320 ft in 24.1 seconds. What is the car’s acceleration? Given: x = 1320 ft, t = 24.1 seconds, v 0 = 0 velocity Equation: x = v 0 t + ½at 2
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5 OF 25 1320 ft = 0 + ½a (24.1) 2 a = 4.55 ft/sec 2 What is the final speed of the car? v = at v = (4.55 ft/sec 2 )(24.1 sec) = 109.5 ft/sec
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6 OF 25 Free Fall Acceleration Fall solely under the influence of gravity No air resistance encountered Acceleration occurs on Earth Acceleration of gravity is 9.8 m/s 2 or 32.0 ft/sec 2 downward We will short hand gravity to 10 m/s 2 Free fall is an example of constant acceleration.
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7 OF 25 ± Class assignment Drop a piece of paper and time the interval from the time you release the paper until it touches the floor. Crumple the paper into a tight ball. Repeat the timing. Are the times different? Why or why not? ¾ Question Two people step off the roof of Withrow Hall. One weighs 100 pound, the other 250 pounds. Which one will hit the ground first? Why?
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8 OF 25 Free fall acceleration is independent of mass.
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This note was uploaded on 05/27/2011 for the course SCI 302 taught by Professor Null during the Spring '11 term at GWU.

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Acceleration Notes - Acceleration: Rate of change of...

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