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17. The height of a ball thrown from the top of a cliff can be approximated by the formula h(t) = −5t² + 15t + 20 where t is time in seconds and h is height in metres. a) Describe the end behaviour of this function assuming there are no restrictions on the domain. b) Determine the height of the ball after 2 s. c) Determine the maximum height of the ball. d) What are the restrictions on the domain of this function? Explain why there are restrictions.

17. The height of a ball thrown from the top of a cliff can be approximated by the formula h(t) = −5t² + 15t + 20 where t is time in seconds and h is height in metres. a) Describe the end behaviour of this function assuming there are no restrictions on the domain. b) Determine the height of the ball after 2 s. c) Determine the maximum height of the ball. d) What are the restrictions on the domain of this function? Explain why there are restrictions.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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17. The height of a ball thrown from the top of a cliff can be approximated by the formula h(t) = −5t² + 15t + 20 where t is time in seconds and h is height in metres. a) Describe the end behaviour of this function assuming there are no restrictions on the domain. b) Determine the height of the ball after 2 s. c) Determine the maximum height of the ball. d) What are the restrictions on the domain of this function? Explain why there are restrictions.
Transcribed Image Text:17. The height of a ball thrown from the top of a cliff can be approximated by the formula h(t) = −5t² + 15t + 20 where t is time in seconds and h is height in metres. a) Describe the end behaviour of this function assuming there are no restrictions on the domain. b) Determine the height of the ball after 2 s. c) Determine the maximum height of the ball. d) What are the restrictions on the domain of this function? Explain why there are restrictions.
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