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1. A baseball batter hits a home run straight up in the air. The height, h, of the baseball in metres above the ground can be modelled by the following function where time, t, is in seconds: h(t) = -4.9t² + 32t - 1.6 a) Calculate the average rate of change of the height of the baseball from 0 to 2 seconds. b) Determine the instantaneous rate of change of the height of the baseball at two (2) seconds. c) Describe the meaning of the average rate of change and the instantaneous rate of change for this situation.

1. A baseball batter hits a home run straight up in the air. The height, h, of the baseball in metres above the ground can be modelled by the following function where time, t, is in seconds: h(t) = -4.9t² + 32t - 1.6 a) Calculate the average rate of change of the height of the baseball from 0 to 2 seconds. b) Determine the instantaneous rate of change of the height of the baseball at two (2) seconds. c) Describe the meaning of the average rate of change and the instantaneous rate of change for this situation.

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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1. A baseball batter hits a home run straight up in the air. The height, h, of the baseball in metres above the ground can be modelled by the following function where time, t, is in seconds: h(t) = -4.9t² + 32t 1.6 a) Calculate the average rate of change of the height of the baseball from 0 to 2 seconds. b) Determine the instantaneous rate of change of the height of the baseball at two (2) seconds. c) Describe the meaning of the average rate of change and the instantaneous rate of change for this situation. Show all your work.
Transcribed Image Text:1. A baseball batter hits a home run straight up in the air. The height, h, of the baseball in metres above the ground can be modelled by the following function where time, t, is in seconds: h(t) = -4.9t² + 32t 1.6 a) Calculate the average rate of change of the height of the baseball from 0 to 2 seconds. b) Determine the instantaneous rate of change of the height of the baseball at two (2) seconds. c) Describe the meaning of the average rate of change and the instantaneous rate of change for this situation. Show all your work.
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