In this discussion you will explore an application of polynomials by studying a model of a free falling object. <\/p>\n
Scenario – A person stands at the top of a 30
feet\u00a0building and throws a ball upwards with an initial velocity of 38
feet per second\u00a0. Using calculus and the fact that the acceleration due
to gravity is approximately we obtain that the velocity and height of the ball satisfy the following formulas: <\/p>\n
Velocity of the ball\u00a0 t seconds after being thrown:
Height of the ball\u00a0 t seconds after being thrown : <\/p>\n
Here, velocity v\u00a0 is given in ft\/s\u00a0 and the height h\u00a0 is given in ft . The variable t represents time, given in seconds. <\/p>\n
Instructions: <\/p>\n
Review the scenario above and answer the following questions: <\/p>\n
Find the maximum height of the ball (in feet). <\/p>\n
Hint: the moment the ball reaches maximum height, its
velocity is zero (because in that split of a millisecond, the ball must
stop to change direction and comeback down) \u00a0 <\/p>\n
Determine how long it takes for the ball to hit the ground (in seconds). <\/p>\n
Hint: when the ball hits the ground, what is its height equal to? (answer: height is zero) <\/p>\n","protected":false},"excerpt":{"rendered":"
In this discussion you will explore an application of polynomials by studying a model of a free falling object. Scenario – A person stands at the top of a 30 feet\u00a0building and throws a ball upwards with an initial velocity of 38 feet per second\u00a0. Using calculus and the fact that the acceleration due to […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[33],"class_list":["post-10696","post","type-post","status-publish","format-standard","hentry","category-research-paper-writing","tag-mathematics"],"_links":{"self":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/10696","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/comments?post=10696"}],"version-history":[{"count":0,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/posts\/10696\/revisions"}],"wp:attachment":[{"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/media?parent=10696"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/categories?post=10696"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/papersspot.com\/blog\/wp-json\/wp\/v2\/tags?post=10696"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}