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Solution


Q.

Amit and Rahul decided to ride a new roller coaster. While waiting in line, Rahul notices that part of this roller coaster resembles the graph of a polynomial function that they have been studying in their maths class.

Based on the given information, answer the following questions:

 

(iii) (a) Find the height of the roller coaster 9 seconds after the ride begins. Explain how you find the answer.
1 2.5 feet.  
2 2.7 feet.  
3 1.7 feet.  
4 3.7 feet.  

Ans.

(2)

When t = 9 seconds:
    h = 0.3×9³ − 5×9² + 21×9 = 218.7 − 405 + 189 = 2.7 feet.
Height after 9 seconds is 2.7 feet.