Cynthia throws a rock that she found on the beach into the water. The rock follows a parabolic arc that can be modelled by the equation h= -2t2+15t+8 , where h is height above the water and t is time ( in seconds). Can you determine how many seconds does it take for the rock to hit the water? Explain how you get your answer

Answered: Cynthia throws a rock that she found on…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Cynthia throws a rock that she found on the beach into the water. The rock follows a parabolic arc that can be modelled by the equation h= -2t²+15t+8 , where h is height above the water and t is time ( in seconds). Can you determine how many seconds does it take for the rock to hit the water? Explain how you get your answer

Expert Solution

Step 1

given that when Cynthia throws a rock into water , the path of the rock can be modelled by the equation

h=-2t²+15t+8

where h is the height of the rock above the water and t is the time.

we need to find the time taken for the rock to hit the water.

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