Reviewing Responses to Motion and Forces Questions

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SUMMARY

This discussion focuses on reviewing responses to motion and forces questions, specifically addressing the interpretation of problem statements and the methods used to solve them. The first problem involves calculating the initial speed of a second arrow, with a clarification that the question pertains to the moment the second arrow reaches the first at the peak of its flight. The second problem suggests a more efficient method to determine the time of a clown's flight using a vertical displacement of two meters, leading to a quadratic equation for precise timing of ascent and descent.

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Can someone check to see if I am on the right track as far as these questions go? I have place the questions and my answers in an attachment. Thanks!
 

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I didn't check all of your math, but the approach looks fine. I do have a couple of comments:

1) In problem 1, I'd interpret the question differently. You found the initial speed of the second arrow if it reached the first at the peak of its flight. This is, I'll grant you, halfway through the flight of the arrow, but it seemed to me that the question meant that the second arrow reached the first when the first was halfway up to its peak.

2) You could have gotten the time of the clown's flight directly instead of in two steps by using a vertical displacement of two meters. You'd have had a quadratic to solve which would have given you two times - one going up, and one going down. Inspection (basically, looking at it) would give you the time when he hit the net.

As I said, though, you seem to be approaching them correctly.
 

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