what would the maximum slope possible for a v vs t graph of acar released from rest on an air track elevated at one end?

Question

~I know the track would be elevated to be straight up since it would have the most angle...but what would the slope value be?

would it be 0 slope? I'm not sure about this...

Thanks =)

Answer 1

The slope of a V vs t graph is the acceleration. The maximum acceleration would depend upon the slope of the track. It would equal g sin A, where A is the angle of the track measured from horizontal, and g is the acceleration of gravity.

Answer 2

But what if the track is exactly 90
degrees to the floor?

I did the eqzn you gave and got:

a=gSinA
a= 9.8 Sin(90)
a=9.8m/s^2

Is this correct?