Exercises 129-132: Maximizing Altitude Ifair resistance is ignored, the height h of a projectile above the ground after x seconds is given by h(x) = -gx² + vox + ho. where g is the acceleration due to gravity. This formula is also valid for other celestial bodies. Suppose a ball is thrown straight up at vo = 88 feet per second from a height of h = 25 feet. a (a) For the given g. graphically estimate both the maxi- mum height and the time when it occurs. (b) Solve part (a) symbolically. 129. g = 32 (Earth) 130. g = 5.1 (Moon) 131. g = 13 (Mars) 132. g = 88 (Jupiter)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 83E
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Exercises 129-132: Maximizing Altitude Ifair resistance
is ignored, the height h of a projectile above the ground
after x seconds is given by h(x) = -gx² + vox + ho.
where g is the acceleration due to gravity. This formula
is also valid for other celestial bodies. Suppose a ball is
thrown straight up at vo = 88 feet per second from a
height of h = 25 feet.
a (a) For the given g. graphically estimate both the maxi-
mum height and the time when it occurs.
(b) Solve part (a) symbolically.
129. g = 32 (Earth)
130. g = 5.1 (Moon)
131. g = 13 (Mars)
132. g = 88 (Jupiter)
Transcribed Image Text:Exercises 129-132: Maximizing Altitude Ifair resistance is ignored, the height h of a projectile above the ground after x seconds is given by h(x) = -gx² + vox + ho. where g is the acceleration due to gravity. This formula is also valid for other celestial bodies. Suppose a ball is thrown straight up at vo = 88 feet per second from a height of h = 25 feet. a (a) For the given g. graphically estimate both the maxi- mum height and the time when it occurs. (b) Solve part (a) symbolically. 129. g = 32 (Earth) 130. g = 5.1 (Moon) 131. g = 13 (Mars) 132. g = 88 (Jupiter)
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