3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height (in feet) is given by S(x) = 60 + 29.4x − 9.8(sq2) where x is in seconds. Showing all working, determine: (a) How long will it take the projectile to reach its maximum height? (b) What is the highest height that the projectile can attain?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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(3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet,
its height (in feet) is given by S(x) = 60 + 29.4x − 9.8(sq2)
where x is in seconds.
Showing all working, determine:
(a) How long will it take the projectile to reach its maximum height?

(b) What is the highest height that the projectile can attain?

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