Integration 1: Area and Distance 9. The function h(t), at right, models velocity during a bicycle trip in which Andrei traveled north then south then north again along a road. The area of each shaded region is given on the graph (in parenthesis). At t = 3 hours, Andrei is km north of his starting point. Explain your calculation. A student looks at the graph in question 9, and says, "After t = 2 hours, Andrei is 24 km north of his starting point". Do you agree or disagree with this student? Justify your answer. 20 y (km/h) 10 -10 -20 (10) y=h(t)/ (14) (19) 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Integration 1: Area and Distance
9. The function h(t), at right, models velocity
during a bicycle trip in which Andrei traveled
north then south then north again along a
road. The area of each shaded region is
given on the graph (in parenthesis).
3 hours, Andrei is
km north
of his starting point. Explain your calculation.
At t
=
A student looks at the graph in estion
9, and says, "After t
=
24 km north of
2 hours, Andrei is
his starting point". Do you agree or
disagree with this student? Justify your
answer.
20 y (km/h)
10%
-10
-20
(10)
y=h(t)
(14)
(19)
t
3
4
Transcribed Image Text:Integration 1: Area and Distance 9. The function h(t), at right, models velocity during a bicycle trip in which Andrei traveled north then south then north again along a road. The area of each shaded region is given on the graph (in parenthesis). 3 hours, Andrei is km north of his starting point. Explain your calculation. At t = A student looks at the graph in estion 9, and says, "After t = 24 km north of 2 hours, Andrei is his starting point". Do you agree or disagree with this student? Justify your answer. 20 y (km/h) 10% -10 -20 (10) y=h(t) (14) (19) t 3 4
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