Problem 56563. Compute the drag on a moving vehicle

Created by Aurelio

Solve Later

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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 56.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 28.4px; transform-origin: 407px 28.4px; vertical-align: baseline; "><div style="font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 28.4px; text-align: left; transform-origin: 384px 28.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 197.083px 8px; transform-origin: 197.083px 8px; unicode-bidi: normal; ">We assume no rolling resistance, and the simple rule for Drag : <img src="data:image/png;base64,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" style="width: 90px; 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height: 19.5px;" width="40" height="19.5"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; ">), <img src="data:image/png;base64,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" style="width: 37.5px; height: 19.5px;" width="37.5" height="19.5"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.6167px 8px; transform-origin: 90.6167px 8px; unicode-bidi: normal; "> is the surface of the vehicle, <img src="data:image/png;base64,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" style="width: 18.5px; height: 20px;" width="18.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.5px 8px; transform-origin: 83.5px 8px; unicode-bidi: normal; "> is the drag coefficient and <img src="data:image/png;base64,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" style="width: 44.5px; height: 18.5px;" width="44.5" height="18.5"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.375px 8px; transform-origin: 45.375px 8px; unicode-bidi: normal; "> is the velocity.</div></div></div>

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Last Solution submitted on Aug 15, 2023

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1 Comment

Dyuman Joshi on 11 Nov 2022

Needs more test cases.

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