^ for the equation that i came up with..
all i did was find t in terms of a, and substitute that in for the first equation
then i squared the first equation and set it equal to the second equation
then i solve for a
i wrote the equation wrong up there.
it's supposed to be:
2vi(-vi +/-...
i have the angle of the ramp, so i know the angle at which the cylinder fell once it rolled off the ramp
but i don't know the angle of the cylinder's path when it hits the floor
what if the photogates weren't oriented vertically?
the top photogate was oriented perpendicular to the ramp and the second photogate was oriented approx. perpendicular to the direction of the cylinder's fall
i have an idea..can someone check this?
vf = vi + at
vf^2 = vi^2 + 2ad
d = vit + .5at^2
so you can solve for t in terms of a from the last equation
then you can square the first equation and set that equal to the second equation. then you substitute in t and you can solve for a.
i end up with...
My class did a lab where we roll a cylinder down a ramp (the end of the ramp was at the edge of the table). We placed a photogate timer right at the position where the cylinder fell off the ramp, and a photogate timer right at the position where the cylinder hit the floor.
The information...