In the Pumpkin Chunking contest in Bridgeville, Delaware, an air cannon is used to shoot pumpkin into the air. Suppose the height at timet of such pumpkin can be modeled using the equation y = h(t) = -16t² + 28& +10 where the height is measured in feet and the time in seconds. a) Write the equation in standard form : f(x) = a(x – h)? + k b) Find the pumpkin's maximum height. After how many seconds does the pumpkin reach its maximum height? c) How long will the pumpkin remain in the air before striking the ground?

In the Pumpkin Chunking contest in Bridgeville, Delaware, an air cannon is used to shoot pumpkin into the air. Suppose the height at timet of such pumpkin can be modeled using the equation y = h(t) = -16t² + 28& +10 where the height is measured in feet and the time in seconds. a) Write the equation in standard form : f(x) = a(x – h)? + k b) Find the pumpkin's maximum height. After how many seconds does the pumpkin reach its maximum height? c) How long will the pumpkin remain in the air before striking the ground?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.6: Solving Quadratic Equations By Using The Quadratic Formula

Problem 15CYU

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A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of h=16t2+208t . When will the rocket reach its maximum height? What will be the maximum height? Round answers to the nearest tenth.
For the equation x+2=x : (a) Is x=2 a solution? (b) Is x=1 a solution?

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