I'm trying to work out what the overall acceleration of an object in non circular uniform motion. My problem is thus, I am trying to model the time it would take an object to fall down the inside of an arc of a circle. I imagine it as a unit circle, with my object starting from rest at (-1,0) and finishing its journey at (0,-1). The radius of my circle is 30.2 m (actual lift hill height of a roller coaster in Ireland.) so far i have calculated the heights of both and velocity of both with final velocity being calculated by PCE: so 24.3294m/s. So far im having trouble resolving the time taken to complete this journey with gravity being 9.8m/s and friction and air resistance disregarded. Do I know enough variables to compute this? or is my issue elsewhere?
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