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 − 9.8x2 , where x is in seconds. Showing all working, determine: (a) How long will it take the projectile reach its maximum height? (b) What is the highest height that the projectile can attain?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 − 9.8x2

, where x is in seconds.
Showing all working, determine:
(a) How long will it take the projectile reach its maximum height?
(b) What is the highest height that the projectile can attain?

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