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Maximum height formula straight up

1 years ago
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{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T17:21:25+00:00","modifiedTime":"2016-03-26T17:21:25+00:00","timestamp":"2022-09-09T18:09:26+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Science","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33756"},"slug":"science","categoryId":33756},{"name":"Physics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33769"},"slug":"physics","categoryId":33769}],"title":"How to Calculate the Maximum Height of a Projectile","strippedTitle":"how to calculate the maximum height of a projectile","slug":"how-to-calculate-the-maximum-height-of-a-projectile","canonicalUrl":"","seo":{"metaDescription":"According to the laws of physics, when a projectile flies into the air, its trajectory is shaped by Earth’s gravitational pull. Because the force of gravity onl","noIndex":0,"noFollow":0},"content":"<p>According to the laws of physics, when a projectile flies into the air, its trajectory is shaped by Earth’s gravitational pull. Because the force of gravity only acts downward — that is, in the vertical direction — you can treat the vertical and horizontal components separately. As a result, you can calculate how far the projectile can travel straight up in the air.</p>\n<p>Say, for example, that on your birthday, your friends give you just what you’ve always wanted: a cannon. It has a muzzle velocity of 860 meters/second, and it shoots 10-kilogram cannonballs. Anxious to show you how it works, your friends shoot it off with the cannon pointing straight up. </p>\n<p>Everyone starts to guess how high it will go. Because you know your physics, you can figure this out almost exactly (ignoring air resistance).</p>\n<p>You know the initial vertical velocity, <i>v</i><i><sub>i</sub></i>, of the cannonball, and you know that gravity will accelerate it downward. How can you determine how high the ball will go? At the cannonball’s maximum height, its vertical velocity will be zero, and then it will head down to Earth again. Therefore, you can use the following equation for the cannonball’s highest point, where its vertical velocity will be zero:</p>\n<img src=\"https://sg.cdnki.com/maximum-height-formula-straight-up---aHR0cHM6Ly93d3cuZHVtbWllcy5jb20vd3AtY29udGVudC91cGxvYWRzLzMzMTIxNS5pbWFnZTAucG5n.webp\" width=\"93\" height=\"28\" alt=\"image0.png\"/>\n<p>You want to know the cannonball’s displacement from its initial position, so solve for <i>s</i>. This gives you</p>\n<img src=\"https://sg.cdnki.com/maximum-height-formula-straight-up---aHR0cHM6Ly93d3cuZHVtbWllcy5jb20vd3AtY29udGVudC91cGxvYWRzLzMzMTIxNi5pbWFnZTEucG5n.webp\" width=\"80\" height=\"45\" alt=\"image1.png\"/>\n<p>Plugging in what you know — <i>v</i><i><sub>f</sub></i> is 0 meters/second, <i>v</i><i><sub>i</sub></i> is 860 meters/second, and the acceleration is <i>g</i> downward (<i>g</i> being 9.8 meters/second<sup>2</sup>, the acceleration due to gravity on the surface of the Earth), or –<i>g</i>. You get this:</p>\n<img src=\"https://sg.cdnki.com/maximum-height-formula-straight-up---aHR0cHM6Ly93d3cuZHVtbWllcy5jb20vd3AtY29udGVudC91cGxvYWRzLzMzMTIxNy5pbWFnZTIucG5n.webp\" width=\"361\" height=\"65\" alt=\"image2.png\"/>\n<p>Whoa! The ball will go up 38 kilometers, or nearly 24 miles. Not bad for a birthday present. Theoretically, that 10kg (about 22 lb.) cannonball will come back down and land with a speed of 860 m/s, which means that a) everyone ought to stand back, and (b) if the shot was truly vertical, the returning cannonball might smash your cannon. Enjoy it while you can.</p>","description":"<p>According to the laws of physics, when a projectile flies into the air, its trajectory is shaped by Earth’s gravitational pull. Because the force of gravity only acts downward — that is, in the vertical direction — you can treat the vertical and horizontal components separately. As a result, you can calculate how far the projectile can travel straight up in the air.</p>\n<p>Say, for example, that on your birthday, your friends give you just what you’ve always wanted: a cannon. It has a muzzle velocity of 860 meters/second, and it shoots 10-kilogram cannonballs. Anxious to show you how it works, your friends shoot it off with the cannon pointing straight up. </p>\n<p>Everyone starts to guess how high it will go. Because you know your physics, you can figure this out almost exactly (ignoring air resistance).</p>\n<p>You know the initial vertical velocity, <i>v</i><i><sub>i</sub></i>, of the cannonball, and you know that gravity will accelerate it downward. How can you determine how high the ball will go? At the cannonball’s maximum height, its vertical velocity will be zero, and then it will head down to Earth again. Therefore, you can use the following equation for the cannonball’s highest point, where its vertical velocity will be zero:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/331215.image0.png\" width=\"93\" height=\"28\" alt=\"image0.png\"/>\n<p>You want to know the cannonball’s displacement from its initial position, so solve for <i>s</i>. This gives you</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/331216.image1.png\" width=\"80\" height=\"45\" alt=\"image1.png\"/>\n<p>Plugging in what you know — <i>v</i><i><sub>f</sub></i> is 0 meters/second, <i>v</i><i><sub>i</sub></i> is 860 meters/second, and the acceleration is <i>g</i> downward (<i>g</i> being 9.8 meters/second<sup>2</sup>, the acceleration due to gravity on the surface of the Earth), or –<i>g</i>. You get this:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/331217.image2.png\" width=\"361\" height=\"65\" alt=\"image2.png\"/>\n<p>Whoa! The ball will go up 38 kilometers, or nearly 24 miles. Not bad for a birthday present. Theoretically, that 10kg (about 22 lb.) cannonball will come back down and land with a speed of 860 m/s, which means that a) everyone ought to stand back, and (b) if the shot was truly vertical, the returning cannonball might smash your cannon. Enjoy it while you can.</p>","blurb":"","authors":[{"authorId":8967,"name":"Steven Holzner","slug":"steven-holzner","description":" <p><b> Dr. Steven Holzner</b> has written more than 40 books about physics and programming. He was a contributing editor at <i>PC Magazine</i> and was on the faculty at both MIT and Cornell. He has authored Dummies titles including <i>Physics For Dummies</i> and <i>Physics Essentials For Dummies.</i> Dr. Holzner received his PhD at Cornell.</p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8967"}}],"primaryCategoryTaxonomy":{"categoryId":33769,"title":"Physics","slug":"physics","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33769"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[],"relatedArticles":{"fromBook":[{"articleId":208460,"title":"Physics I For Dummies Cheat Sheet","slug":"physics-i-for-dummies-cheat-sheet","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/208460"}},{"articleId":184049,"title":"A List of Physics Constants","slug":"a-list-of-physics-constants","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/184049"}},{"articleId":184043,"title":"Physics Equations and Formulas","slug":"physics-equations-and-formulas","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/184043"}},{"articleId":174308,"title":"Calculating Tangential Velocity on a Curve","slug":"calculating-tangential-velocity-on-a-curve","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/174308"}},{"articleId":174307,"title":"Flowing from Hot to Cold: The Second Law of Thermodynamics","slug":"flowing-from-hot-to-cold-the-second-law-of-thermodynamics","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/174307"}}],"fromCategory":[{"articleId":209405,"title":"String Theory For Dummies Cheat Sheet","slug":"string-theory-for-dummies-cheat-sheet","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/209405"}},{"articleId":209012,"title":"Physics II For Dummies Cheat Sheet","slug":"physics-ii-for-dummies-cheat-sheet","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/209012"}},{"articleId":208592,"title":"Thermodynamics For Dummies Cheat Sheet","slug":"thermodynamics-for-dummies-cheat-sheet","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/208592"}},{"articleId":208578,"title":"Optics For Dummies Cheat Sheet","slug":"optics-for-dummies-cheat-sheet","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/208578"}},{"articleId":208460,"title":"Physics I For Dummies Cheat Sheet","slug":"physics-i-for-dummies-cheat-sheet","categoryList":["academics-the-arts","science","physics"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/208460"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282467,"slug":"physics-i-for-dummies","isbn":"9781119872221","categoryList":["academics-the-arts","science","physics"],"amazon":{"default":"https://www.amazon.com/gp/product/1119872227/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119872227/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1119872227-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119872227/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119872227/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/9781119872221-203x255.jpg","width":203,"height":255},"title":"Physics I For Dummies","testBankPinActivationLink":"","bookOutOfPrint":true,"authorsInfo":"<p><b> Dr. <b data-author-id=\"8967\">Steven Holzner</b></b> has written more than 40 books about physics and programming. 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According to the laws of physics, when a projectile flies into the air, its trajectory is shaped by Earth’s gravitational pull. Because the force of gravity only acts downward — that is, in the vertical direction — you can treat the vertical and horizontal components separately. As a result, you can calculate how far the projectile can travel straight up in the air.

Say, for example, that on your birthday, your friends give you just what you’ve always wanted: a cannon. It has a muzzle velocity of 860 meters/second, and it shoots 10-kilogram cannonballs. Anxious to show you how it works, your friends shoot it off with the cannon pointing straight up.

Everyone starts to guess how high it will go. Because you know your physics, you can figure this out almost exactly (ignoring air resistance).

You know the initial vertical velocity, vi, of the cannonball, and you know that gravity will accelerate it downward. How can you determine how high the ball will go? At the cannonball’s maximum height, its vertical velocity will be zero, and then it will head down to Earth again. Therefore, you can use the following equation for the cannonball’s highest point, where its vertical velocity will be zero:

Maximum height formula straight up

You want to know the cannonball’s displacement from its initial position, so solve for s. This gives you

Maximum height formula straight up

Plugging in what you know — vf is 0 meters/second, vi is 860 meters/second, and the acceleration is g downward (g being 9.8 meters/second2, the acceleration due to gravity on the surface of the Earth), or –g. You get this:

Maximum height formula straight up

Whoa! The ball will go up 38 kilometers, or nearly 24 miles. Not bad for a birthday present. Theoretically, that 10kg (about 22 lb.) cannonball will come back down and land with a speed of 860 m/s, which means that a) everyone ought to stand back, and (b) if the shot was truly vertical, the returning cannonball might smash your cannon. Enjoy it while you can.

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How many number of spectral lines obtained when an electron jumps from 4th orbit to ground state?
How many number of spectral lines obtained when an electron jumps from 4th orbit to ground state?

Since comments caused certain level of confusion, I guess Ill try to provide a further illustration. You should consider all possibilities for an electron jumping down the excited energy state $n$ ...

Q&A When
What should be added to the polynomial x 2 5 x 4 so that x 3 is a factor of the resulting polynomial?
What should be added to the polynomial x 2 5 x 4 so that x 3 is a factor of the resulting polynomial?

AnswerVerifiedHint: For solving this problem, first we let the constant to be added as c. Then, we assume another root to be k. Now, we obtain the sum and product of roots individually and then form ...

Q&A What
That 90s show release date 2022
That 90s show release date 2022

The coming-of-age stoner-comedy tv series That 70s Show is getting a spin-off. Netflix announced That 90s Show in early October amid the current cultural fascination with 90s nostalgia. Like That ...

90s show release date
How to protect ends of hair when coloring
How to protect ends of hair when coloring

Hair care tips: Got your hair coloured before the lockdown? You probably wouldnt have got any hair spas or hair treatments after that! Here are some tips to take care of coloured hair and prevent ...

protect ends hair coloring
What time is the Worcester St. Patricks parade 2022?
What time is the Worcester St. Patricks parade 2022?

REPORT:ER IT WAS MUSIC TO THE YEARS OF WORCESTER COUNTY THAT HASN’T HAD A PARADE LIKE THIS SINCE MARCH OF 2019, SOT, GREAT CROWD SUNSHINE COLD BUT SO FUN TO HAVE THE PARADE BKAC REPORTER: SOME ...

time worcester st patricks parade Worcester parade Today
How far is Texas from me by plane hours
How far is Texas from me by plane hours

Whats the distance to Texas from me? driving distance in milesCompare the distances and find out how far are we from Texas by plane or car. flight distance in miles Travel time to ...

texas plane hours
What are noble gases known as
What are noble gases known as

The noble gases, also known as the inert gases and aerogens, are the elements that belong to group 18 of the modern periodic table. The elements that belong to this group are:Helium (He)Neon ...

noble gases Noble gases group Noble gases characteristics Noble gases elements Noble gases uses
How many 3 cost units TFT set 7?
How many 3 cost units TFT set 7?

The chances to draw a specific champion in TFT depend on their gold cost, the number of the same units in play, and your level.Teamfight Tactics has RNG elements, so your success in the game is also ...

cost units tft set TFT units Tft levels chart
How many hours in 3 months of work
How many hours in 3 months of work

Convert from Hours to Months. Type in the amount you want to convert and press the Convert button.Belongs in categoryTime1 Hours = 0.0014 Months10 Hours = 0.0137 Months2500 Hours = ...

hours months work
Who played on Nobody Does It Better?
Who played on Nobody Does It Better?

Original Titelmelodie aus dem United Artists FilmJames Bond 007 „Der Spion, der mich liebteA: United Artists Music Co., Inc., ASCAP / Unart Music Corporation, BMI℗ 1977 Elektra RecordsB: ...

played
And I love her guitar chords Easy
And I love her guitar chords Easy

And I love her: The Beatles (capo on 2nd fret)Verse 1[/] [///] [/] [///] [/][Am]I give her[Em] all my love[Am]And if you s[Em]aw my love[Am]She gives me e[Em]verything[Am]The kiss my l[Em]over ...

love guitar chords easy
How to see how much time you spend on your phone Android
How to see how much time you spend on your phone Android

Do you need to keep an eye on how often you’re using your Android device? You can check your screen time on Android using this guide.While everyone has a screen in their pocket, you don’t need to ...

time spend phone android

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