0. 1 3. (hours) B (t) (miles per hour) 1 8. 1.5 -5 11 5. Brandon and Chloe ride their bikes for 4 hours along a flat, straight road. Brandon's velocity, in miles per hour, at time t hours is given by a differentiable function B for 0 stS 4. Values of B(t) for selected times / are given in the table above. Chloe's velocity, in miles per hour, at time t hours is given by the piecewise function C defined by for 0sts 2 C(t) = 12-31- for 2<154. (a) How many miles did Chloe travel from time t = 0 to time t = 2 ? (b) At time t = 3, is Chloe's speed increasing or decreasing? Give a reason for your answer. (c) Is there a time t, for 0 sts 4, at which Brandon's acceleration is equal to 2.5 miles per hour per hour? Justify your answer. (d) Is there a time 1, for 0 sIs 2, at which Brandon's velocity is equal to Chloe's velocity? Justify your answer. 2)
0. 1 3. (hours) B (t) (miles per hour) 1 8. 1.5 -5 11 5. Brandon and Chloe ride their bikes for 4 hours along a flat, straight road. Brandon's velocity, in miles per hour, at time t hours is given by a differentiable function B for 0 stS 4. Values of B(t) for selected times / are given in the table above. Chloe's velocity, in miles per hour, at time t hours is given by the piecewise function C defined by for 0sts 2 C(t) = 12-31- for 2<154. (a) How many miles did Chloe travel from time t = 0 to time t = 2 ? (b) At time t = 3, is Chloe's speed increasing or decreasing? Give a reason for your answer. (c) Is there a time t, for 0 sts 4, at which Brandon's acceleration is equal to 2.5 miles per hour per hour? Justify your answer. (d) Is there a time 1, for 0 sIs 2, at which Brandon's velocity is equal to Chloe's velocity? Justify your answer. 2)
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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Question
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Transcribed Image Text:<>
1
(hours)
В ()
(miles per hour)
1
1.5
-5
11
5. Brandon and Chloe ride their bikes for 4 hours along a flat, straight road. Brandon's velocity, in miles per
hour, at time t hours is given by a differentiable function B for 0SIS 4. Values of B(t) for selected times t
are given in the table above. Chloe's velocity, in miles per hour, at time t hours is given by the piecewise
function C defined by
C(t) =
te
for 0 stS 2
12 31 for 2 <1S 4.
(a) How many miles did Chloe travel from time t = 0 to time t = 2 ?
(b) At time t = 3, is Chloe's speed increasing or decreasing? Give a reason for your answer.
(c) Is there a time t, for 0 s tS 4, at which Brandon's acceleration is equal to 2.5 miles per hour per hour?
Justify your answer.
(d) Is there a time 1, for 0 stS 2, at which Brandon's velocity is equal to Chloe's velocity? Justify your
answer.
1,024 x 802
%3D
3.
2.
8.
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