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hey guys its Roya and today Ill be talking to you about the total position equation or the final position equation now say we have a pebble named sandy and she starts at position zero and decides to roll along in a straight line to the right so thats her direction and we want to find her final position now if she has constant acceleration her velocity versus time graph is going to look like this now as we learned her total change in position based on this graph is going to be the area under this triangle and instead of using position in this case lets use acceleration and so instead of using velocity lets use acceleration we know that the area under this triangle is the same as 1/2 a teaspoon and this is what we learned in one of the previous videos in case youre unfamiliar with this so 1/2 a chi squared and lets say that 1/2 a T squared is a positive number and thats going to be her final position now what if sandy were starting with an initial velocity of say I dont know 10