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alright Part D explain how any correct aspects of the students reasoning identified in Part B are expressed by your mathematical relationships in Part C and explain how a relationship in Part C correct higher relationships in Part C correct any incorrect aspects of the students reasoning identified in Part B it's a bit of a mouthful but they're just saying hey kind of connect the dots between Part C and the two parts of Part B refer to the relationships you wrote in Part C not just the final answer you obtain by manipulating those relationships and so we can let me write it down here so D so Part C shows us that doubling doubling compression does result in more potential energy doubling compression does result in more in more energy and you could clarify that this is this is potential potential and kinetic at different points in time and then we could even draw a line to it so we see that we see that right over here that is that is these that line and then that line right over there shows that so I could draw a bit of an arrow to it they want us to reference some of what we saw before and just to make it clear I can put in parentheses I can show that u 2 is equal to 4 u 1 and that K 2 is equal to 4 for K 1 however however however since the kinetic energy since the kinetic energy is four times greater and you have the same same force of friction force of friction the distance is going to be four times as a lot long the stopping distance distance is going to be four times as much is going to be four times as long and even when we show the correct parts Part C shows us that doubling the compression does result in more energy and I could I could add and more stopping distance let me do it there and more stopping stopping distance whoops and more stopping distance and the stopping distance that arrow is easier to draw and more stopping distance however since the kinetic energy is four times greater and you have the same force of friction the stopping distance is going to be four times as long and we saw that as well over there so we're saying hey look the student was right that more more compression as more energy more stopping distance however it's going to be four times as long the stopping distance not not two times as not two times as far and there you go

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