The following graph shows the position functions of two runners, A and B, who run a 100-meter race and finish in a tie. s (meters)A 80 40 B. artl 0. 4 8. 12 t (seconds) (a) Describe and compare how the runners run the race. O Runner A starts the race at a slower velocity than runner B but finishes the race at a faster velocity. Runner B runs the entire race at the same velocity. O Runner A starts the race at a faster velocity than runner B but finishes the race at a slower velocity. Runner B runs the entire race at the same velocity. O Runner A runs the entire race at the same velocity. Runner B starts the race at a slower velocity than runner A but finishes the race at a faster velocity. O Runner A runs the entire race at the same velocity. Runner B starts the race at a faster velocity than runner A but finishes the race at a slower velocity. or O Runner A and runner B both start and end the race a the same velocities. (b) How long after the race began (in seconds) is the distance between the runners the greatest? (c) How long after the race began (in seconds) do the runners have the same velocity?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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s (meters),
80
On the coordinate plane the horizontal axis is labeled t (seconds) and the vertical
axis is labeled s (meters). A line and a curve are graphed.
• The line labeled A begins at the origin, goes up and right, and ends at the point
(14, 100).
. The curve labeled B begins at the origin, goes up and right becoming more
steep, passes through the approximate point (9.5, 55) where the curve B is
furthest from the line A, and ends at the point (14, 100).
escribe and compare how the runners run the race.
O Runner A starts the race at a slower velocity than runner B but finishes the
O Runner A starts the race at a faster velocity than runner B but finishes the ra
O Runner A runs the entire race at the same velocity. Runner B starts the race
O Runner A runs the entire race at the same velocit
Retry
OK
Transcribed Image Text:s (meters), 80 On the coordinate plane the horizontal axis is labeled t (seconds) and the vertical axis is labeled s (meters). A line and a curve are graphed. • The line labeled A begins at the origin, goes up and right, and ends at the point (14, 100). . The curve labeled B begins at the origin, goes up and right becoming more steep, passes through the approximate point (9.5, 55) where the curve B is furthest from the line A, and ends at the point (14, 100). escribe and compare how the runners run the race. O Runner A starts the race at a slower velocity than runner B but finishes the O Runner A starts the race at a faster velocity than runner B but finishes the ra O Runner A runs the entire race at the same velocity. Runner B starts the race O Runner A runs the entire race at the same velocit Retry OK
The following graph shows the position functions of two runners, A and B, who run a 100-meter race and
finish in a tie.
s (meters)A
V
80
40
B
bartl
8.
12
t (seconds)
0.
4.
"RUCTOR
rilliam
worth
(a) Describe and compare how the runners run the race.
O Runner A starts the race at a slower velocity than runner B but finishes the race at a faster
velocity. Runner B runs the entire race at the same velocity.
ersity,
IL
O Runner A starts the race at a faster velocity than runner B but finishes the race at a slower
velocity. Runner B runs the entire race at the same velocity.
O Runner A runs the entire race at the same velocity. Runner B starts the race at a slower velocity
than runner A but finishes the race at a faster velocity.
Runner A runs the entire race at the same velocity. Runner B starts the race at a faster velocity
21
than runner A but finishes the race at a slower velocity.
Hor
O Runner A and runner B both start and end the race a the same velocities.
(b) How long after the race began (in seconds) is the distance between the runners the greatest?
(c) How long after the race began (in seconds) do the runners have the same velocity?
Transcribed Image Text:The following graph shows the position functions of two runners, A and B, who run a 100-meter race and finish in a tie. s (meters)A V 80 40 B bartl 8. 12 t (seconds) 0. 4. "RUCTOR rilliam worth (a) Describe and compare how the runners run the race. O Runner A starts the race at a slower velocity than runner B but finishes the race at a faster velocity. Runner B runs the entire race at the same velocity. ersity, IL O Runner A starts the race at a faster velocity than runner B but finishes the race at a slower velocity. Runner B runs the entire race at the same velocity. O Runner A runs the entire race at the same velocity. Runner B starts the race at a slower velocity than runner A but finishes the race at a faster velocity. Runner A runs the entire race at the same velocity. Runner B starts the race at a faster velocity 21 than runner A but finishes the race at a slower velocity. Hor O Runner A and runner B both start and end the race a the same velocities. (b) How long after the race began (in seconds) is the distance between the runners the greatest? (c) How long after the race began (in seconds) do the runners have the same velocity?
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