{"id":80224,"date":"2015-04-23T03:00:00","date_gmt":"2015-04-23T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=1291eebe9d39923b1001884dcd13a25e"},"modified":"2015-04-23T03:00:00","modified_gmt":"2015-04-23T00:00:00","slug":"reaching-higher-goals-by-means-of-a-reflecting-wall","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=80224","title":{"rendered":"Reaching higher goals by means of a reflecting wall"},"content":{"rendered":"<p>A student realizes that a point particle that is able to rise at a given point P 0 at height H when<br \/>\nlaunched vertically from the origin O of a Cartesian plane at a fixed initial speed V 0 cannot<br \/>\nreach, by means of a direct shot from a small spring cannon, a point P positioned at the same height<br \/>\nH and distance d from P 0 , with 0 < d \u2264 R , where R is the maximum horizontal distance attainable\nwith an optimum throw at an angle of 45\u00b0. However, the student realizes that, in the absence of air\nresistance, conservation of energy does not prevent this possibility. Therefore, in order to reach\npoint P , the student uses a perfectly reflecting surface, opportunely inclined with respect to the\nhorizontal. The full story of how this is done will be narrated in this article.\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A student realizes that a point particle that is able to rise at a given point P 0 at height H when<br \/>\nlaunched vertically from the origin O of a Cartesian plane at a fixed initial speed V 0 cannot<br \/>\nreach, by means of a direct shot from a small spring cannon, a point P positioned at the same height<br \/>\nH and distance d from P 0 , with 0 &lt; d \u2264 R , where R is the maximum horizontal distance attainable<br \/>\nwith an optimum throw at an angle of 45\u00b0. However, the student realizes that, in the absence of air<br \/>\nresistance, conservation of energy does not prevent this possibility. Therefore, in order to reach<br \/>\npoint P , the student uses a perfectly reflecting surface, opportunely inclined with respect to the<br \/>\nhorizontal. The full story of how this is done will be narrated in this article.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-80224","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/80224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=80224"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/80224\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=80224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=80224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=80224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}