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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?

Verified Answer :

Edufirst

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]at^2 = [13.41 m/s]10s + [1/2]1.34 m/s (10s)^2 = 201.1 m

 

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