1. A baseball is thrown into the air with an upward velocity of 30 ft/s. Its height h, in feet, after t seconds is given by the function h16t 30t+ 6. a. What is the initial height of the baseball? b. How long will it take the ball to reach its maximum height? Give a reason for your answer c. What is the ball's maximum height? Give a reason for your answer 2. The Riverside Geyser in Yellowstone National Park erupts about every 6.25 h. When the geyser erupts, the water has an initial upward velocity of 69 ft/s. a. Write the function that gives the height, h, in feet of the geyser after t seconds. b. What is the maximum height of the geyser? Round your answer to the nearest foot. Give a reason for your answer.

Question
1. A baseball is thrown into the air with an upward velocity of 30 ft/s. Its height h, in feet, after t seconds is given by the function h16t
30t+ 6.
a. What is the initial height of the baseball?
b. How long will it take the ball to reach its maximum height? Give a reason for your answer
c. What is the ball's maximum height? Give a reason for your answer
2. The Riverside Geyser in Yellowstone National Park erupts about every 6.25 h. When the geyser erupts, the water has an initial upward
velocity of 69 ft/s.
a. Write the function that gives the height, h, in feet of the geyser after t seconds.
b. What is the maximum height of the geyser? Round your answer to the nearest foot. Give a reason for your answer.

Image Transcription

1. A baseball is thrown into the air with an upward velocity of 30 ft/s. Its height h, in feet, after t seconds is given by the function h16t 30t+ 6. a. What is the initial height of the baseball? b. How long will it take the ball to reach its maximum height? Give a reason for your answer c. What is the ball's maximum height? Give a reason for your answer 2. The Riverside Geyser in Yellowstone National Park erupts about every 6.25 h. When the geyser erupts, the water has an initial upward velocity of 69 ft/s. a. Write the function that gives the height, h, in feet of the geyser after t seconds. b. What is the maximum height of the geyser? Round your answer to the nearest foot. Give a reason for your answer.

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