derivation of velocity relationship in momentummp4

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to solve perfect elastic collisions for both final velocities you need 2 equations. You can use the conservation of momentum equation + setting the initial kinetic energy (of both objects) equal to the final kinetic energy (of both objects)...or...use this simpler velocity relationship...","styleRuns":[{"startIndex":0,"length":290,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":290,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CK4BELsvGAIiEwjo_qaxw8iLAxWO2EIFHcBCB1c=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC0daTTljYlZMcWx3GAYyJSIRIgtHWk05Y2JWTHFsdzAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CK4BELsvGAIiEwjo_qaxw8iLAxWO2EIFHcBCB1c=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CK0BELovIhMI6P6mscPIiwMVjthCBR3AQgdX"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"p7QS4cz-Avs","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/p7QS4cz-Avs/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG 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