3. The path of a soccer ball kicked into the air is modelled by s(t) = 0.2+ 19.6t – 4.9t, where s(t) is the height in metres and t is time in seconds a) Determine the average rate of change between 1s to 2s. (A1) %3D b) Determine the average rate of change between 2s to 3s. (A1) c) What do you notice about the two values? (A2) d) Determine the instantaneous rate of change at 1s. (A1)
3. The path of a soccer ball kicked into the air is modelled by s(t) = 0.2+ 19.6t – 4.9t, where s(t) is the height in metres and t is time in seconds a) Determine the average rate of change between 1s to 2s. (A1) %3D b) Determine the average rate of change between 2s to 3s. (A1) c) What do you notice about the two values? (A2) d) Determine the instantaneous rate of change at 1s. (A1)
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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Transcribed Image Text:3. The path of a soccer ball kicked into the air is modelled by s(t) = 0.2+ 19.6t- 4.9t2,
where s(t) is the height in metres and t is time in seconds
a) Determine the average rate of change between 1s to 2s. (A1)
%3D
b) Determine the average rate of change between 2s to 3s. (A1)
c) What do you notice about the two values? (A2)
d) Determine the instantaneous rate of change at 1s. (A1)
e) Determine the instantaneous rate of change when the soccer ball hits the ground, and
explain its significance. (A4)
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