12.0 6.00 Two marathon runners are running in a race. The first runner's speed (in km/h) is v = The second runner's speed (in km/h) is v= 12.0 e 0.200t + 1 (a) Who is ahead after 2.00 h? (b) Who is ahead after 3.00 h? (a) Set up the integrals to find the distances (D, and D,) each runner will have run after 2.00 hours. D, =|O dt and D2 = (Type exact answers. Use integers or decimals for any numbers in the expressions.) Who is ahead after 2.00 h? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an integer or decimal rounded to the nearest tenth as needed.) O A. Runner 2 was ahead after 2.00 h, having run km, while Runner 1 only ran km. O B. Runner 1 was ahead after 2.00 h, having run km, while Runner 2 only ran km. O C. Neither runner is ahead, as both will have run km in 2.00 h. (b) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an integer or decimal rounded to the nearest tenth as needed.) O A. Runner 1 was ahead after 3.00 h, having run km, while Runner 2 only ran km. O B. Runner 2 was ahead after 3.00 h, having run km, while Runner 1 only ran km. O C. Neither runner is ahead, as both will have run km in 3.00 h.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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12.0
6.00
Two marathon runners are running in a race. The first runner's speed (in km/h) is v=
The second runner's speed (in km/h) is v = 12.0 e
0.200t + 1*
(a) Who is ahead after 2.00 h?
(b) Who is ahead after 3.00 h?
(a) Set up the integrals to find the distances (D, and D,) each runner will have run after 2.00 hours.
D, =|() dt and D2
(Type exact answers. Use integers or decimals for any numbers in the expressions.)
Who is ahead after 2.00 h? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Type an integer or decimal rounded to the nearest tenth as needed.)
A. Runner 2 was ahead after 2.00 h, having run
km, while Runner 1 only ran
km.
B. Runner 1 was ahead after 2.00 h, having run
km, while Runner 2 only ran
km.
C. Neither runner is ahead, as both will have run
km in 2.00 h.
(b) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
(Type an integer or decimal rounded to the nearest tenth as needed.)
A. Runner 1 was ahead after 3.00 h, having run
km, while Runner 2 only ran
km.
B. Runner 2 was ahead after 3.00 h, having run
km, while Runner 1 only ran
km.
O C. Neither runner is ahead, as both will have run
km in 3.00 h.
Transcribed Image Text:12.0 6.00 Two marathon runners are running in a race. The first runner's speed (in km/h) is v= The second runner's speed (in km/h) is v = 12.0 e 0.200t + 1* (a) Who is ahead after 2.00 h? (b) Who is ahead after 3.00 h? (a) Set up the integrals to find the distances (D, and D,) each runner will have run after 2.00 hours. D, =|() dt and D2 (Type exact answers. Use integers or decimals for any numbers in the expressions.) Who is ahead after 2.00 h? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an integer or decimal rounded to the nearest tenth as needed.) A. Runner 2 was ahead after 2.00 h, having run km, while Runner 1 only ran km. B. Runner 1 was ahead after 2.00 h, having run km, while Runner 2 only ran km. C. Neither runner is ahead, as both will have run km in 2.00 h. (b) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an integer or decimal rounded to the nearest tenth as needed.) A. Runner 1 was ahead after 3.00 h, having run km, while Runner 2 only ran km. B. Runner 2 was ahead after 3.00 h, having run km, while Runner 1 only ran km. O C. Neither runner is ahead, as both will have run km in 3.00 h.
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