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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:

 

(ii) Find the height of the roller coaster at t = 0 seconds. Explain why this answer makes sense.
1 at ground level  
2 at upper level  
3 at middle level  
4 none of these  

Ans.

(1)

When t = 0 second:
    h(0) = 0.3×0³ − 5×0² + 21×0 = 0
⇒ h = 0 feet when t = 0 second.
It means initially the coaster is at rest (at ground level).