Problem 5 You slide down an icy hill, starting from rest at the very top. The le
ID: 1878458 • Letter: P
Question
Problem 5 You slide down an icy hill, starting from rest at the very top. The length of the sloped surface from the top to the bottom of the hill is 38.23m It takes you 3.00 seconds to make it the whole way down the hill
Use equations: vy= delta y/ delta t . ay= delta vy/ delta t . (vy)^2f - (vy)^2 i = 2ay(delta y) . yf= yi + (vy)i (delta t) + 1/2 ay( delta t)^2
a) What is your acceleration as you slide down the hill?
b) What is the angle of the hill (measured from the horizontal)
c) How high above the horizontal is the top of the hill?
d) How many sig figs should your answers have, and have you rounded so that they do?
Explanation / Answer
a)
using the equation of motion :
s = ut + 0.5*at^2
So, 38.23 = 0*t + 0.5*a*3^2
So, a = 8.49 m/s2 <-------- answer
b)
angle = asin( a/(g) )
= asin( 8.49/9.81)
= 60 degrees <------- answer
c)
h = 38.23*sin(60 deg)
= 33.11 m
d)
No. of significant figures = 2
Yes, the answers have been rounded off