SOLVED:A Gymnast Dismounts The Uneven Parallel Bars. Her Height ...

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A gymnast dismounts the uneven parallel bars. Her height, h, depends on the time, t, that she is in the air as follows: h = -16t2 + 8t + 8 a) How long will it take the gymnast to reach the ground? b) When will the gymnast be 8 feet above the ground? 1- It will take her .5 second to reach the ground and she will be at feet above the ground when she begins her dismount. 2- It will take her 8 second to reach the ground and she will be at feet above the ground when she begins her dismount. 3- It will take her 1 second to reach the ground and she will be at feet above the ground when she begins her dismount. A gymnast dismounts the uneven parallel bars. Her height, h, depends on the time, t, that she is in the air as follows: h = -16t2 + 8t + 8 a) How long will it take the gymnast to reach the ground? b) When will the gymnast be 8 feet above the ground? 1- It will take her .5 second to reach the ground and she will be at feet above the ground when she begins her dismount. 2- It will take her 8 second to reach the ground and she will be at feet above the ground when she begins her dismount. 3- It will take her 1 second to reach the ground and she will be at feet above the ground when she begins her dismount. Show more…

Added by Kaitlyn G.

Elementary and Intermediate Algebra Alan S. Tussy, R. David Gustafson 5th Edition

Step 1

We have a quadratic equation for the height of the gymnast: h = -16t^2 + 8t + 8, where h is the height in feet and t is the time in seconds. We need to find: a) The time it takes for the gymnast to reach the ground (h = 0). b) The time when the gymnast is Show more…

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Submit Thanks for your feedback! A gymnast dismounts the uneven parallel bars. Her height, h, depends on the time, t, that she is in the air as follows: h = -16t2 + 8t + 8 a) How long will it take the gymnast to reach the ground? b) When will the gymnast be 8 feet above the ground? 1- It will take her .5 second to reach the ground and she will be at feet above the ground when she begins her dismount. 2- It will take her 8 second to reach the ground and she will be at feet above the ground when she begins her dismount. 3- It will take her 1 second to reach the ground and she will be at feet above the ground when she begins her dismount. Play audio Feedback Powered by NumerAI

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A gymnast dismounts the uneven parallel bars at a height of 8 feet with an initial upward velocity of 8 feet per second. The function $$ s(t)=-16 t^{2}+8 t+8 $$ $$ \begin{array}{l}{\text { describes the height of the gymnast's feet above the ground, }} \\ {s(t), \text { in feet, } t \text { seconds after dismounting. The graph of the }} \\ {\text { function is shown, with unlabeled tick marks along the }} \\ {\text { horizontal axis. Use the function to solve Exercises } 65-66 .}\end{array} $$ How long will it take the gymnast to reach the ground? Use this information to provide a number on each tick mark along the horizontal axis in the figure shown.

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Transcript

00:01 In part a, i want to know how long will it take for the gymnast to reach the ground. 00:06 The ground means a height of zero. 00:08 So i'm going to set my function equal to zero. 00:14 I can start off by dividing everything by negative 8, make my numbers a little smaller. 00:37 Can factor that to t and t, 1 and 1 minus n plus. 00:47 So i'm going to get 2t plus 1 equals 0. 00:51 T minus 1 equals 0. 00:54 So i get 2t is negative 1 or t is negative 1 half. 00:59 I can discard that as extraneous. 01:04 Then i get one second. 01:06 So it's going to take one second for the gymnast to hit the ground. 01:13 I now want to know when will she be 8 feet above the ground... Need help? Use Ace Ace is your personal tutor. It breaks down any question with clear steps so you can learn. Start Using Ace Ace is your personal tutor for learning Step-by-step explanations Instant summaries Summarize YouTube videos Understand textbook images or PDFs Study tools like quizzes and flashcards Listen to your notes as a podcast

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