The path of a baseball after it has been hit is modeled by the function h(d)=-0.0032d+d+3,...

  

Transcribed Image Text:

The path of a baseball after it has been hit is modeled by the function h(d)=-0.0032d+d+3, where h is the height in feet of the baseball and d is the distance in feet the baseball is from home plate. 89. Find the maximum height of the baseball. 90. How far is the baseball from home plate when it reaches its maximum height? 91. Find the height of the baseball when it is 50 feet from home plate. A diver jumps from a diving board that is 24 feet above the water. The height of the diver is given by h=-16(-1.5)(+1) where h is the height (in feet) of the diver above the water in / seconds. 92. Find the maximum height of the diver. 93. When does the diver reach the maximum height? 94. What is the height of the diver in 1.25 seconds? 95. How many seconds does it take for the diver to hit the water? The cost, C (in dollars), of fuel per month to operate a truck is given by the function C(x)=0.2(x-45)+350, where x represents the average driving speed in miles per hour. 96. What average driving speed yields the minimum monthly fuel cost? 97. Find the minimum monthly fuel cost. 98. What is the monthly fuel cost if the average driving speed is 55 mph? 99. What is the monthly fuel cost if the average driving speed is 30 mph? A rock is propelled from the top of building at a height of 160 feet with an initial vertical velocity of 12 ft/sec. (Round to three decimal places when necessary.) 100. Use the vertical motion model to write a function, h(r), that models the height of the rock (in feet) at / seconds. A) h(t)=-16+1601+12 C) h(t)=-4.9 +160+12 101. What is the maximum height of the rock? 102. When does the rock reach its maximum height? 103. What is the height of the rock at 3 seconds? 104. When will the rock be 100 feet above the ground? 105. When will the rock hit the ground? B) h(t)=-16r+121+160 D) h(t)=-4.912+12+160 The path of a baseball after it has been hit is modeled by the function h(d)=-0.0032d+d+3, where h is the height in feet of the baseball and d is the distance in feet the baseball is from home plate. 89. Find the maximum height of the baseball. 90. How far is the baseball from home plate when it reaches its maximum height? 91. Find the height of the baseball when it is 50 feet from home plate. A diver jumps from a diving board that is 24 feet above the water. The height of the diver is given by h=-16(-1.5)(+1) where h is the height (in feet) of the diver above the water in / seconds. 92. Find the maximum height of the diver. 93. When does the diver reach the maximum height? 94. What is the height of the diver in 1.25 seconds? 95. How many seconds does it take for the diver to hit the water? The cost, C (in dollars), of fuel per month to operate a truck is given by the function C(x)=0.2(x-45)+350, where x represents the average driving speed in miles per hour. 96. What average driving speed yields the minimum monthly fuel cost? 97. Find the minimum monthly fuel cost. 98. What is the monthly fuel cost if the average driving speed is 55 mph? 99. What is the monthly fuel cost if the average driving speed is 30 mph? A rock is propelled from the top of building at a height of 160 feet with an initial vertical velocity of 12 ft/sec. (Round to three decimal places when necessary.) 100. Use the vertical motion model to write a function, h(r), that models the height of the rock (in feet) at / seconds. A) h(t)=-16+1601+12 C) h(t)=-4.9 +160+12 101. What is the maximum height of the rock? 102. When does the rock reach its maximum height? 103. What is the height of the rock at 3 seconds? 104. When will the rock be 100 feet above the ground? 105. When will the rock hit the ground? B) h(t)=-16r+121+160 D) h(t)=-4.912+12+160