# Projectile3

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User Generated
Subject
Algebra
School
Rasmussen University
Type
Homework
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It is given that


where is in seconds and is in feet.
1) When does the ash projectile reach its maximum height?
For a parabola

    the maximum is reached at

Here   and therefore




2) What is its maximum height?
It is






   
  

It will be at the time such that
(and the initial time is not what we seek for).
The equation is

 
  

which gives 

Unformatted Attachment Preview
It is given that 𝐻(𝑡) = −16𝑡 2 + 336𝑡 where 𝑡 is in seconds and 𝐻 is in feet. 1) When does the ash projectile reach its maximum height? 𝑏 For a parabola 𝐻(𝑡) = 𝑎𝑡 2 + 𝑏𝑡 + 𝑐, 𝑎 < 0, the maximum is reached at 𝑡0 = − 2𝑎. 336 Here 𝑎 = −16, ...
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