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.

A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of the puddle remains at 4 mm while the radius increases. The syrup is added at a constant rate of 20 cubic mm per second. What is the rate the radius is increasing when 314.159 cubic mm have been poured? Use the variables V for volume, h for height, and r for radius. Give the correct label for each value in terms of these variables. 4= 20= 314.159= What the question is asking for=

A cube has an edge of 5 feet. The edge is increasing at the rate of 4 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed. Hint:Remember that the volume of a cube is the cube (third power) of the length of a side. V (m) = feet³