You step outside one winter day to get the newspaper, right at the street. Your

Question

You step outside one winter day to get the newspaper, right at the street. Your driveway, from the door to the newspaper, is 20 meters long, and completely, smoothly iced over. The angle of incline of your driveway is 8 ? . As you go to take your first tentative step, you suddenly find yourself sliding down the driveway (assume you start from rest).

(a) What is your acceleration as you slide down the driveway?

(b) How long does it take to get to the street?

(c) Once you get to the bottom, you can

Explanation / Answer

acceleration = gsin 8 = 1.364 m/s^2

S = .5 x a x t^2

20 = .5 x 1.364 x t^2

t = 5.415 s

v^2 = 2aS

v^2 = 2 x1.364 x 20

v = 7.386 m/s

v^2 = u^2 - 2aS

final velocity = 0

u = 7.386 m/s

7.386^2 = 2 x 2 x S

S = 13.64 m

time ----

v = u - at

v = 0

7.386 - 2t = 0

t = 3.693 s

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