4. The height, in feet, of a thrown object with respect to time can be modeled by the equation h(t)= -16t2 + 120t + 6. When will the object reach its maximum height? What is the maximum height of the object?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 84A
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4. The height, in feet, of a thrown object with respect to time can be modeled by the equation
h(t) =-16t2 +120t + 6. When will the object reach its maximum height? What is the maximum height of the
object?
5. The path of a baseball hit at a point 3 feet above the ground with an initial velocity of 100 fps at an angle
of 45° to the ground can be modeled by the equation h(x) = -0.0032x² + x+3. What is the maximum height
reached by the ball? What time will the baseball hit the ground? xitesseet
%3D
9=-0-0032x x+3
下 ニ×
2(--0032)
ニ
a064 = 156-25
2=600 32)
C=3
- 0032 (156-25)156.25+ 3=81-125.6/Mor
neight
6. The equation R= 900x -0.1x² can be used to model the total revenue, R, earned in relation to the number
of units sold, x. Find the number of units sold that produces a maximum revenue. What is the maximum
revenue?
Transcribed Image Text:4. The height, in feet, of a thrown object with respect to time can be modeled by the equation h(t) =-16t2 +120t + 6. When will the object reach its maximum height? What is the maximum height of the object? 5. The path of a baseball hit at a point 3 feet above the ground with an initial velocity of 100 fps at an angle of 45° to the ground can be modeled by the equation h(x) = -0.0032x² + x+3. What is the maximum height reached by the ball? What time will the baseball hit the ground? xitesseet %3D 9=-0-0032x x+3 下 ニ× 2(--0032) ニ a064 = 156-25 2=600 32) C=3 - 0032 (156-25)156.25+ 3=81-125.6/Mor neight 6. The equation R= 900x -0.1x² can be used to model the total revenue, R, earned in relation to the number of units sold, x. Find the number of units sold that produces a maximum revenue. What is the maximum revenue?
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