[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523538-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523538-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","kuta-software-infinite-precalculus-ideal-projectile-motion-worksheet","Kuta Software - Infinite Precalculus Ideal Projectile Motion - Worksheet","","Practice worksheet for ideal projectile motion using parametric equations. Problems cover a soccer ball, golf ball, and snowball, each specified by launch angle, initial speed, and (for the snowball) initial height. Additional multi-part guidance applies to a cannonball, requiring parametric equations plus calculations for air time, horizontal range, time and value of maximum height, and a sketch of the parametric graph.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/kuta-software-infinite-precalculus-ideal-projectile-motion-worksheet/523538/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/kuta-software-infinite-precalculus-ideal-projectile-motion-worksheet/523538.png","ImageObject",300,407,{"name":42,"@type":43},"LangkahRina","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",6,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What information is needed to write the parametric equations for each projectile?","Question",{"text":63,"@type":64},"Each problem gives a launch angle and initial speed; some also provide an initial height. Use these values to form the parametric equations for x and y as functions of time t.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"For the cannonball problem, what quantities are required besides the parametric equations?",{"text":68,"@type":64},"You must determine the time the cannonball is in the air, the horizontal distance it travels, the time it reaches maximum height, the maximum height value, and sketch the graph of the parametric equations.",{"name":70,"@type":61,"acceptedAnswer":71},"Which projectiles are included in the worksheet practice set?",{"text":72,"@type":64},"A soccer ball, a golf ball, a snowball, and a cannon ball are included, each with specific launch conditions and corresponding equation or calculation tasks.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523538,1791535580,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":96,"preview_page_count":4},962090893776,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Precalculus Ideal Projectile Motion  \nName  Date  Period   \n1) A soccer ball is kicked across a field at an angle of 30° with an initial speed of 16 m/s. Write a set of parametric equations for the motion of the soccer ball.  \n2) A golf ball is struck across a flat fairway at an angle of 45° with an initial speed of 136 ft/s. Write a set of parametric equations for the motion of the golf ball.  \n3) A snowball is thrown at an angle of 60° with an initial speed of 45 ft/s and an initial height of 5 ft. Write a set of parametric equations for the motion of the snowball.  \n4) A cannon ball is fired across a flat field at an angle of 45° with an initial speed of 103 ft/sand an initial height of 31 ft.  \ni) Write a set of parametric equations for the motion of the cannon ball.  \nii) Determine how long the cannon ball was in the air.  \niii) Determine how far the cannon ball traveled in the air.  \niv) Determine when the cannon ball reached its maximum height.  \nv) Determine the maximum height reached by the cannon ball.  \nvi) Sketch the graph of the parametric equations.  \n􀀘􀀓 􀀔􀀓􀀓 􀀔􀀘􀀓 􀀕􀀓􀀓 􀀕􀀘􀀓 􀀖􀀓􀀓 􀀖􀀘􀀓 x  \nKuta Software-Infinite Precalculus Ideal Projectile Motion  \nName  Date  Period   \n1) A soccer ball is kicked across a field at an angle of 30° with an initial speed of 16 m/s. Write a set of parametric equations for the motion of the soccer ball.  \nx 􀀠 􀀛 t 􀀖 , y 􀀠 􀀛 t 􀀐 ~~ ~~􀀜􀀑~~ ~~􀀛􀀕~~ ~~t􀀕~~ ~~  \n2) A golf ball is struck across a flat fairway at an angle of 45° with an initial speed of 136 ft/s. Write a set of parametric equations for the motion of the golf ball.  \nx 􀀠 􀀙􀀛 t 􀀕 , y 􀀠 􀀙􀀛 t 􀀕 􀀐 ~~ ~~􀀖􀀕􀀑~~ ~~􀀔􀀕~~ ~~􀀚t􀀕~~ ~~  \n3) A snowball is thrown at an angle of 60° with an initial speed of 45 ft/s and an initial height of 5 ft. Write a set of parametric equations for the motion of the snowball.  \n 􀀗􀀘 t   􀀖􀀕􀀑􀀔􀀚 t􀀕   􀀗􀀘 t 􀀖   \nx 􀀠 , y 􀀠 􀀘 􀀐 􀀎  \n􀀕 􀀕 􀀕  \n4) A cannon ball is fired across a flat field at an angle of 45° with an initial speed of 103 ft/sand an initial height of 31 ft.  \ni) Write a set of parametric equations for the motion of the cannon ball.  \nii) Determine how long the cannon ball was in the air.  \niii) Determine how far the cannon ball traveled in the air.  \niv) Determine when the cannon ball reached its maximum height.  \nv) Determine the maximum height reached by the cannon ball.  \nvi) Sketch the graph of the parametric equations.  \ni) x 􀀠  􀀔􀀓􀀖 t 􀀕  y 􀀠 􀀖􀀔 􀀐  􀀖􀀕􀀑􀀔􀀚 t􀀕 􀀎  􀀔􀀓􀀖 t 􀀕   \n􀀕 , 􀀕 􀀕  \n􀀖􀀘􀀓 ii) 􀀗􀀑􀀜􀀕 s  \n􀀖􀀓􀀓 iii) 􀀖􀀘􀀛􀀑􀀖􀀔 ft  \n􀀕􀀘􀀓 iv) 􀀕􀀑􀀕􀀙 s  \n􀀕􀀓􀀓 v) 􀀔􀀔􀀖􀀑􀀗􀀗 ft  \n􀀔􀀘􀀓􀀔􀀓􀀓 t 􀀠􀀘􀀓  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaioDBgWFpKiwG","https://ap.wps.com/l/cbCaioDBgWFpKiwG","pdf",26221,"English","# Ideal Projectile Motion\n## Parametric Equations for Each Projectile\n## Cannonball: Time, Distance, Maximum Height, and Graph","[{\"question\":\"What information is needed to write the parametric equations for each projectile?\",\"answer\":\"Each problem gives a launch angle and initial speed; some also provide an initial height. Use these values to form the parametric equations for x and y as functions of time t.\"},{\"question\":\"For the cannonball problem, what quantities are required besides the parametric equations?\",\"answer\":\"You must determine the time the cannonball is in the air, the horizontal distance it travels, the time it reaches maximum height, the maximum height value, and sketch the graph of the parametric equations.\"},{\"question\":\"Which projectiles are included in the worksheet practice set?\",\"answer\":\"A soccer ball, a golf ball, a snowball, and a cannon ball are included, each with specific launch conditions and corresponding equation or calculation tasks.\"}]","Kuta Software - Infinite Precalculus Ideal Projectile Motion - Worksheet | PDF",1791426969]