# Ramp problem

#### hellothere123

1. Homework Statement
i have an air track glider on a track that is tilted. the distance between the initial position and the photogate that measures the time it takes for the glider to pass the photogate in 0.001s is .5m I need to find the angle theta that will give me 25m/s (the max measurable velocity) at the photogate. in case it helps, the flag width is .025m.

2. Homework Equations
v^2 = vi^2 + 2ax
a=gsin(theta)

my problem is you cannot arcsin a number greater than 1. because the glider is at rest then i let it go, i need to find the angle that will get the glider to travel at 25 m/s by the time it gets to the photogate. however, this doesnt seem possible because if it were in free fall.. to fall at 25m/s, it would need 31.887m to travel, which we do not have on this track.

however it should be possible or maybe i am missing something, because the next question asks, if the angle exceeds this critical angle, the calculations provide an inaccurate value of g and i need to know why. any help is greatly appreciated.

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