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On Earth, the quadratic relation h = -5t2 + ut + ho can be used to determine the height of an object that has been thrown as it travels through the air, measured from a reference point. In this relation, h is the height of the object in metres, t is the time in seconds since the object was thrown, u is the initial velocity, and ho is the initial height. Ash throws a pokeball upward from a second-floor balcony, 6 m above the ground, with an initial velocity of 2 m/s. In this situation, u = 2 and ho = 6, so the relation that models the height of the pokeball is h = -5t2 + 2t + 6. Ash knows that changing the velocity with which he throws the pokeball will change the maximum height of the pokeball. Ash wants to know with what velocity he must throw the pokeball to makepass over a tree that is 11 m tall in order to catch that pokemon.

On Earth, the quadratic relation h = -5t2 + ut + ho can be used to determine the height of an object that has been thrown as it travels through the air, measured from a reference point. In this relation, h is the height of the object in metres, t is the time in seconds since the object was thrown, u is the initial velocity, and ho is the initial height. Ash throws a pokeball upward from a second-floor balcony, 6 m above the ground, with an initial velocity of 2 m/s. In this situation, u = 2 and ho = 6, so the relation that models the height of the pokeball is h = -5t2 + 2t + 6. Ash knows that changing the velocity with which he throws the pokeball will change the maximum height of the pokeball. Ash wants to know with what velocity he must throw the pokeball to makepass over a tree that is 11 m tall in order to catch that pokemon.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Gotta catch 'em all! On Earth, the quadratic relation h = -5t + ut + ho can be used to determine the height of an object that has been thrown as it travels through the air, measured from a reference point. In this relation, h is the height of the object in metres, t is the time in seconds since the object was thrown, u is the initial velocity, and ho is the initial height. %3D Ash throws a pokeball upward from a second-floor balcony, 6 m above the ground, with an initial velocity of 2 m/s. In this situation, u = 2 and ho = 6, so the relation that models the height of the pokeball is h = -5t2 + 2t + 6. Ash knows that changing the velocity with which he throws the pokeball will change the maximum height of the pokeball. Ash wants to know with what velocity he must throw the pokeball to makepass over a tree that is 11 m tall in order to catch that pokemon. 11 m 6 m %3D %3D Suppose that Ash just dropped the pokeball from the balcony, with an initial velocity of 0 m/s. Write a quadratic relation to model this situation. А. /1 C /1C B. What is the maximum height of the pokeball in A. * YOU'RE HERE FOR BIOLOGY, PLEASE TAKE A SEAT, IF YOU'RE HERE BECAUSE NINTENDO ACcIDENTALLY PUTA POKEMON GYM W MY CLASSCOOM, CAN YOU PLEASE DO THAT DURING LUNCH? www.fdot.co laend
Transcribed Image Text:Gotta catch 'em all! On Earth, the quadratic relation h = -5t + ut + ho can be used to determine the height of an object that has been thrown as it travels through the air, measured from a reference point. In this relation, h is the height of the object in metres, t is the time in seconds since the object was thrown, u is the initial velocity, and ho is the initial height. %3D Ash throws a pokeball upward from a second-floor balcony, 6 m above the ground, with an initial velocity of 2 m/s. In this situation, u = 2 and ho = 6, so the relation that models the height of the pokeball is h = -5t2 + 2t + 6. Ash knows that changing the velocity with which he throws the pokeball will change the maximum height of the pokeball. Ash wants to know with what velocity he must throw the pokeball to makepass over a tree that is 11 m tall in order to catch that pokemon. 11 m 6 m %3D %3D Suppose that Ash just dropped the pokeball from the balcony, with an initial velocity of 0 m/s. Write a quadratic relation to model this situation. А. /1 C /1C B. What is the maximum height of the pokeball in A. * YOU'RE HERE FOR BIOLOGY, PLEASE TAKE A SEAT, IF YOU'RE HERE BECAUSE NINTENDO ACcIDENTALLY PUTA POKEMON GYM W MY CLASSCOOM, CAN YOU PLEASE DO THAT DURING LUNCH? www.fdot.co laend
C. Complete the square of h Ash throws the pokeball with an initial velocity based on the last number in your student number. -5t2 + ut + 6 to determine the maximum height of the pokeball when /4 A The last number in your student number Initial velocity, u 20 m/s 30 m/s 40 m/s Last number in your student number 0-3 4-6 7-9 D. Will Ash have to increase or decrease the initial velocity with which he throws the pokeball for it to clear the tree? Explain how you know. /3 E. What initial velocity will result in a maximum height of 11 m? You this problem; however, higher marks will be awarded to those answers with high accuracy. may choose any method to solve When does it hit the ground in E.
Transcribed Image Text:C. Complete the square of h Ash throws the pokeball with an initial velocity based on the last number in your student number. -5t2 + ut + 6 to determine the maximum height of the pokeball when /4 A The last number in your student number Initial velocity, u 20 m/s 30 m/s 40 m/s Last number in your student number 0-3 4-6 7-9 D. Will Ash have to increase or decrease the initial velocity with which he throws the pokeball for it to clear the tree? Explain how you know. /3 E. What initial velocity will result in a maximum height of 11 m? You this problem; however, higher marks will be awarded to those answers with high accuracy. may choose any method to solve When does it hit the ground in E.
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