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basically the question is as follows:

A particle falling covers 64% of the entire height in its last second of the fall. What is the total height of the fall?

I've tried equating two formulas, and a few other things but I can't seem to go anywhere. Any help would be appreciated.

I also need clarification on something.. My teacher said that on a position-time graph, that if there is a portion that has constant velocity (ie, no curve but a straight line), that you can't have instantaneous velocity since you can't draw a tangent to a point.. but I was under the impression that instantaneous velocity was just the velocity and any given point of time?

Thanks!