Direction: Read and analyze the given problem. Show your given, formula, and detailed solution. A team consisting of 4 members joined a relay running competition; The goal is to run distance equivalent to 15 revolutions around the track field (regardless of the direction) The competition happened in 1-km radius circular track field with 16 concrete posts positioned around as shown in the figure. Any two consecutive posts labeled with letters have equal distances. The posts labeled with numbers are equidistant from the two posts labeled with letters before and after it. F G H F43 a) If the first member ran around the field in a counterclockwise direction starting from point A, find the distance (in degrees) covered when he passed by his initial position twice and stopped at H, where the second member is waiting. b) However, the second member ran the opposite direction (clockwise). Find the distance (in radians) covered by the second member if he passes by his initial position thrice and stopped at C. c) Starting from C, the third member ran towards the same direction as the second did. At what 25π point did the third member stop it he covered a distance equivalent to radians? d) If the last member followed counter clockwise direction, started from the post where the third member stopped, and finally completed the race, at what point did the last member stop?
Direction: Read and analyze the given problem. Show your given, formula, and detailed solution. A team consisting of 4 members joined a relay running competition; The goal is to run distance equivalent to 15 revolutions around the track field (regardless of the direction) The competition happened in 1-km radius circular track field with 16 concrete posts positioned around as shown in the figure. Any two consecutive posts labeled with letters have equal distances. The posts labeled with numbers are equidistant from the two posts labeled with letters before and after it. F G H F43 a) If the first member ran around the field in a counterclockwise direction starting from point A, find the distance (in degrees) covered when he passed by his initial position twice and stopped at H, where the second member is waiting. b) However, the second member ran the opposite direction (clockwise). Find the distance (in radians) covered by the second member if he passes by his initial position thrice and stopped at C. c) Starting from C, the third member ran towards the same direction as the second did. At what 25π point did the third member stop it he covered a distance equivalent to radians? d) If the last member followed counter clockwise direction, started from the post where the third member stopped, and finally completed the race, at what point did the last member stop?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer letters C and D
Transcribed Image Text:Direction: Read and analyze the given problem. Show your given, formula, and detailed solution.
D
A team consisting of 4 members joined a relay running competition;
The goal is to run distance equivalent to 15 revolutions around the
track field (regardless of the direction) The competition happened
in 1-km radius circular track field with 16 concrete posts positioned
around as shown in the figure. Any two consecutive posts labeled
with letters have equal distances. The posts labeled with numbers
are equidistant from the two posts labeled with letters before and
after it.
F
G
H
E
K
B
a) If the first member ran around the field in a counterclockwise direction starting from point
A, find the distance (in degrees) covered when he passed by his initial position twice and
stopped at H, where the second member is waiting.
b) However, the second member ran the opposite direction (clockwise). Find the distance (in
radians) covered by the second member if he passes by his initial position thrice and stopped
at C.
c) Starting from C, the third member ran towards the same direction as the second did. At what
point did the third member stop it he covered a distance equivalent to radians?
25π
3
d) If the last member followed counter clockwise direction, started from the post where the
third member stopped, and finally completed the race, at what point did the last member
stop?
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