{"id":33193,"date":"2024-09-23T02:40:05","date_gmt":"2024-09-23T02:40:05","guid":{"rendered":"https:\/\/www.writemyessays.app\/blog\/questions\/modelling-the-optimal-shot-arc-in-basketball-a-mathematical-analysis-research-question-how-does-the-angle-of-release-and-initial-velocity-affect-the-probability-of-a-successful-basketball-shot-fr\/"},"modified":"2024-09-23T02:40:05","modified_gmt":"2024-09-23T02:40:05","slug":"modelling-the-optimal-shot-arc-in-basketball-a-mathematical-analysis-research-question-how-does-the-angle-of-release-and-initial-velocity-affect-the-probability-of-a-successful-basketball-shot-fr","status":"publish","type":"questions","link":"https:\/\/www.writemyessays.app\/blog\/questions\/modelling-the-optimal-shot-arc-in-basketball-a-mathematical-analysis-research-question-how-does-the-angle-of-release-and-initial-velocity-affect-the-probability-of-a-successful-basketball-shot-fr\/","title":{"rendered":"&#8220;Modelling the Optimal Shot Arc in Basketball: A Mathematical Analysis&#8221;  Research Question: How does the angle of release and initial velocity affect the probability of a successful basketball shot from different distances?"},"content":{"rendered":"<p><span style=\"cursor: auto; color: inherit;\"><\/p>\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">This essay is for a IB math analysis and approaches standard level internal assesment<\/span><\/p>\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\"><br \/><\/span><\/p>\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">&#8220;Modelling the Optimal Shot Arc in Basketball: A Mathematical Analysis&#8221;<\/span><\/p>\n<p><br style=\"cursor: auto; color: inherit;\"><\/p>\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Research Question: How does the angle of release and initial velocity affect the probability of a successful basketball shot from different distances?<\/span><\/p>\n<p><br style=\"cursor: auto; color: inherit;\"><\/p>\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Relevant mathematical approaches<\/span><\/p>\n<ul style=\"cursor: auto; color: inherit;\">\n<li style=\"font-size: 11pt; cursor: auto; color: inherit;\" aria-level=\"1\">\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Kinematics equation to model the projectile motion of the ball<\/span><\/p>\n<\/li>\n<li style=\"font-size: 11pt; cursor: auto; color: inherit;\" aria-level=\"1\">\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Calculate the optimal angle of release for different distances<\/span><\/p>\n<\/li>\n<li style=\"font-size: 11pt; cursor: auto; color: inherit;\" aria-level=\"1\">\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Determine the initial velocity needed for a successful shot at various angles<\/span><\/p>\n<\/li>\n<li style=\"font-size: 11pt; cursor: auto; color: inherit;\" aria-level=\"1\">\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Analyse how these factors contribute to the probability of scoring<\/span><\/p>\n<\/li>\n<li style=\"font-size: 11pt; cursor: auto; color: inherit;\" aria-level=\"1\">\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Use variables like initial velocity, angle of release, and the height of the basketball hoop<\/span><\/p>\n<\/li>\n<li style=\"font-size: 11pt; cursor: auto; color: inherit;\" aria-level=\"1\">\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Experiment on some stuff<\/span><\/p>\n<\/li>\n<li style=\"font-size: 11pt; cursor: auto; color: inherit;\" aria-level=\"1\">\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Talk about possible contribution of air resistance but in the IA it will be classified as negligible<\/span><\/p>\n<\/li>\n<\/ul>\n<p><br style=\"cursor: auto; color: inherit;\"><\/p>\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Background:<\/span><\/p>\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Use the kinematic equations to model the path of the basketball as it travels from the my hand to the hoop<\/span><\/p>\n<p><br style=\"cursor: auto; color: inherit;\"><\/p>\n<p style=\"margin-top: 0pt; margin-bottom: 0pt; line-height: 1.38; cursor: auto; color: inherit;\"><span style=\"font-size: 11pt; cursor: auto; color: inherit;\">Use kinematics to calculate the vertical and horizontal motion of the ball<\/span><\/p>\n<p><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This essay is for a IB math analysis and approaches standard level internal assesment &#8220;Modelling the Optimal Shot Arc in Basketball: A Mathematical Analysis&#8221; Research Question: How does the angle of release and initial velocity affect the probability of a successful basketball shot from different distances? Relevant mathematical approaches Kinematics equation to model the projectile [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[73],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/33193"}],"collection":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/comments?post=33193"}],"version-history":[{"count":0,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/questions\/33193\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/media?parent=33193"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/disciplines?post=33193"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/paper_types?post=33193"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.writemyessays.app\/blog\/wp-json\/wp\/v2\/tagged?post=33193"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}