Assignment:
The height h(t) in feet above the ground of a golf ball depends on the time, t (in seconds) it has been in the air. Ed hits a shot off the tee that has a height modeled by the velocity function h(t) = 0.5at^2 + vt + s where a is -32 ft/sec^2, v is the initial velocity, and s is the initial height.
Q1. Write a function that models the situation.
Q2. Sketch a graph of the function and describe the graph verbally.
Q3. Identify the key components of the graph (minimum or maximum, vertex, roots) and give a brief description of what each represents.
Q4. What is the height of the ball at 1.5 seconds? Is there another time at which the ball is at the same height?
Q5. At what time (s) will the ball be 48 feet above the ground?
Q6. How long after the ball is in the air does it reach its maximum height?
Q7. After how many seconds will the ball hit the ground?
Provide complete and step by step solution for the question and show calculations and use formulas.