Swings in the backyard
by Ben Rimes
skips
questions
Sequel
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How high does the little girl have to swing in order to fall off the swing?
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If a pendulum's swinging quite free, it's always a marvel to me that each tick plus each tock of the grandfather clock is 2 pi root L over g
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How does the height of the little girl compare to the height of the little boy?What is the time for one swing for girl? for boy?
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How fast should each child swing so that they pass each other exactly in the middle?
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What is the relationship between the arc lengths (or sector areas) created between the two swings, and how does it change over time?
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arc length of the swingers - does this predict difference in the number of full swings each child makes?
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What is the difference in their rates? What is the difference of their arclengths?
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What is the ratio between the periods of the swings? IOW, how many big swings are there per little swing?
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In a 20 second interval, how many times will the swingers be at the same height? Would it make a difference if the girl stopped pumping?
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How long is it between the times when the children are at the bottom of their arcs at the same time?
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What is the period of their combined swinging (how long between times they are both the furthest forward at the same moment)
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Does the baby keep moving longer while the big child is swinging (coupled oscillators)?
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I saw them pass the low point together at one time -- how long before this happens again?
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How long is this video? How many swings will the girl get before the boy stops? How does he keep going if he's just sitting there?!
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What is the period of each child? Can I represent their motion graphically?
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What is a trigonometric function of time that domonstrates the position of the girl?
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How often do the children meet in the middle in a 1 minute time period? 5 minutes? 10 minutes? Is there a pattern?
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Is there any relation between the angle of swing (from the vertical) and the time it takes to complete one swing?
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The big kids keeps going fast because she is pumping. The little kids goes fast then keeps slowing down. How much faster does the big kid?
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How many more swings will the little kid in the blue seat get in one hour?
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What does the graph of her height over time look like? His? What is her average speed? His?
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