Question

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?

Answer 1

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