3. Find the height of the coaster at t = 0 seconds. Explain why this answer makes sense. a table 4. Find the height of the coaster 9 seconds after the ride begins. Explain how you found the answer. 5. Evaluate h (60). Does this answer make sense? Identify practical (valid real life) domain of the ride for this model. CLEARLY EXPLAIN your reasoning. (Hint.: Mt. Everest is 29,028 feet tall.) 6. Next weekend, Fred, Elena, Michael, and Diane visit another roller coaster. Elena snaps a picture of part of the coaster from the park entrance. The diagram at the right represents this part of the coaster. Do you think quadratic, cubic, or quartic function would be the best model for this part of the coaster? Clearly explain your choice. 7. The part of the coaster captured by Elena on film is modeled by the function below. h ( t ) h(t) =-0.2t4 + 413 -2412 + 48t Graph this polynomial on the grid at the right by making Height a table of values from t = 0 sec to t = 10 sec and plotting points. o Time t(sec) 0 2 3 4 5 6 7 8 9 10 h (t) feet