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5 January, 16:56

On your way to the dance through there is some slow driving person in front of you so you slam on the gas going 30 mi/hr to 60 mi/he. Luckily your date brought a stop watch and told you the whole thing took place in 10s. What is your acceleration and how far did you and your extremely well equipped date go?

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  1. 5 January, 17:03
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    1) Acceleration

    Use the equations of unformly accelerate motion

    acceleration = [change in velocity] / [time elapsed] = [60 mi/h - 30 mi/h] / 10 s

    acceleration = 30mi/h / 10 s

    30mi/h * 1609m/mi * 1h/3600 s = 13.41 m/s

    acceleration = 13.41 m/s / 10s = 1.34 m / s^2

    2) distance = Vo. t + [1/2]a*t^2 = [13.41 m/s]*10s + [1/2]*1.34 m/s * (10s) ^2 = 201.1 m
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