Help with a Physics Lab

  • #1

Homework Statement


http://apcentral.collegeboard.com/apc/public/repository/ap05_phys_laboneerror_47485.pdf

The above link is an updated version of the lab that I'm currently typing up. I have already gathered all data necessary:

Time taken to travel 50 meters:
@ 1.089 degree downward slope:
2.513 seconds
@ 2.178 degree downward slope:
1.600 seconds
@ 3.269 degree downward slope:
1.169 seconds

Time taken to travel 100 meters:
@ 1.089 degree downward slope:
2.870 seconds
@ 2.178 degree downward slope:
2.173 seconds
@ 3.269 degree downward slope:
1.633 seconds

Homework Equations


I am given the following equations:

(1-1)x=x0 + vt + at^2
(1-2)v=v0 + at
(1-3)a=g sin(theta)
(1-4)X=1/2(g sin theta)t^2
(1-5)v= (g sin theta)
(1-6)S=1/2 (g sin theta)t^2 [This is in a graph of S vs. t^2)

The Attempt at a Solution


My question is:
How do I use all these equations to work out a value of G? It states in my lab handout that "... a plot of t^2 versus S should yield a straight line with a slope equal to the reciprocal of 1/2g sin(theta). This may be used to calculate a local value of g."
 
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