The formula h =--gt² +vot + ho can be used to model the height of a projectile, where g is acceleration due to gravity, which is 9.8 m/s² on Earth, v, is the initial vertical velocity, in metres per second, and h, is the initial height, in metres. a) Create a quadratic model for a volleyball served at 14 m/s from a height of 2.5 m above the court, where h is the height, in metres, and t is the time in seconds, after the ball is served. b) How long is the volleyball in the air if the opposing team misses the return? c) What is the maximum height of the volleyball? When does this occur? Round answer to the nearest tenth.

The formula h =--gt² +vot + ho can be used to model the height of a projectile, where g is acceleration due to gravity, which is 9.8 m/s² on Earth, v, is the initial vertical velocity, in metres per second, and h, is the initial height, in metres. a) Create a quadratic model for a volleyball served at 14 m/s from a height of 2.5 m above the court, where h is the height, in metres, and t is the time in seconds, after the ball is served. b) How long is the volleyball in the air if the opposing team misses the return? c) What is the maximum height of the volleyball? When does this occur? Round answer to the nearest tenth.

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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Question

The formula h =--gt² +vot + ho can be used to model the height of a projectile, where g is acceleration
due to gravity, which is 9.8 m/s² on Earth, v, is the initial vertical velocity, in metres per second, and h, is
the initial height, in metres.
a) Create a quadratic model for a volleyball served at 14 m/s from a height of 2.5 m above the court,
where h is the height, in metres, and t is the time in seconds, after the ball is served.
b) How long is the volleyball in the air if the opposing team misses the return?
c) What is the maximum height of the volleyball? When does this occur? Round answer to the nearest
tenth.

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