1. (From an old exam) Suppose you are initially standing at rest and then jump as high as you can, straight up. (Get up and try this now if you like.) Several parts of this problem will ask you to make numerical estimates at out this situation; this means you will need to come up with reasonable values for some numbers that are no: given. Be sure to explain your reasoning and assumptions carefully for each part; grading will be based much more on your explanations than on the exact values of your final results. a) Estimate your speed at the moment when your feet first leave the ground. (Hint: you should be able to related this to the maximum height you reach during your jump. Do not yet try to estimate the amount of time you are in the air; this is directly related to the height, and is much more difficult to estimate accurately.)

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. (From an old exam) Suppose you are initially standing at rest and then jump as high as you can, straight
up. (Get up and try this now if you like.) Several parts of this problem will ask you to make numerical estimates
at out this situation; this means you will need to come up with reasonable values for some numbers that are
not given. Be sure to explain your reasoning and assumptions carefully for each part; grading will be based
much more on your explanations than on the exact values of your final results.
a) Estimate your speed at the moment when your feet first leave the ground. (Hint: you should be able to
related this to the maximum height you reach during your jump. Do not yet try to estimate the amount of time
you are in the air; this is directly related to the height, and is much more difficult to estimate accurately.)
b) Based on your result from part (a), calculate the approximate amount of time you're in the air during the
jump.
Transcribed Image Text:1. (From an old exam) Suppose you are initially standing at rest and then jump as high as you can, straight up. (Get up and try this now if you like.) Several parts of this problem will ask you to make numerical estimates at out this situation; this means you will need to come up with reasonable values for some numbers that are not given. Be sure to explain your reasoning and assumptions carefully for each part; grading will be based much more on your explanations than on the exact values of your final results. a) Estimate your speed at the moment when your feet first leave the ground. (Hint: you should be able to related this to the maximum height you reach during your jump. Do not yet try to estimate the amount of time you are in the air; this is directly related to the height, and is much more difficult to estimate accurately.) b) Based on your result from part (a), calculate the approximate amount of time you're in the air during the jump.
c) Use your results from part (a) and (b) to estimate the magnitude of your acceleration as you hit the
ground, while your feet are in contact with the ground. Also specify the direction of your acceleration during
this interval. (Hint: it takes you a very short time o come to rest-but not zero time! Try to estimate the
amount of time by relating it to the amount of time you were in the air, which you calculated above.)
Transcribed Image Text:c) Use your results from part (a) and (b) to estimate the magnitude of your acceleration as you hit the ground, while your feet are in contact with the ground. Also specify the direction of your acceleration during this interval. (Hint: it takes you a very short time o come to rest-but not zero time! Try to estimate the amount of time by relating it to the amount of time you were in the air, which you calculated above.)
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