8 A spider is descending over Little Miss Muffet, aiming for her bowl of whey. The spider's heights above the ground are given in the table. Time t (s) Height h (m) 5 10 2.6 2.1 15 1.7 20 1.3 a Plot this data on a graph of h against t. Draw in the best straight line. b Find the gradient and intercept of the line. Write down the equation of the line. c Use your equation to find when the spider was first 2 m above the ground. Check your answer using your graph. d According to your equation, how far above the ground is the spider after it has been descending for 1 minute? Is this a sensible value? What restrictions should you place on your equation? e The bowl of whey is 60 cm above the ground. When will the spider reach the whey? What assumptions have you made?
8 A spider is descending over Little Miss Muffet, aiming for her bowl of whey. The spider's heights above the ground are given in the table. Time t (s) Height h (m) 5 10 2.6 2.1 15 1.7 20 1.3 a Plot this data on a graph of h against t. Draw in the best straight line. b Find the gradient and intercept of the line. Write down the equation of the line. c Use your equation to find when the spider was first 2 m above the ground. Check your answer using your graph. d According to your equation, how far above the ground is the spider after it has been descending for 1 minute? Is this a sensible value? What restrictions should you place on your equation? e The bowl of whey is 60 cm above the ground. When will the spider reach the whey? What assumptions have you made?
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:8 A spider is descending over Little Miss Muffet, aiming for her bowl of whey.
The spider's heights above the ground are given in the table.
Time t (s)
Height h (m)
5
10
2.6 2.1
15
20
1.7 1.3
a Plot this data on a graph of h against t. Draw in the best straight line.
b Find the gradient and intercept of the line. Write down the equation of the line.
c_Use your equation to find when the spider was first 2 m above the ground.
Check your answer using your graph.
d According to your equation, how far above the ground is the spider after it has been
descending for 1 minute? Is this a sensible value?
What restrictions should you place on your equation?
e The bowl of whey is 60 cm above the ground.
When will the spider reach the whey? What assumptions have you made?
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