A plane begins its takeoff at 2:00 p.m. on a 2170-mile flight. After 5.1 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 200 miles per hour. STEP 1:Let S(t) be the position of the plane. Let t= 0 correspond to 2 p.m., and fill in the following values. S(0) - STEP 2: The Mean Value Theorem says that there exists a time to. 2170- Sto)-v(to) - = 2170 STEP 3: Now v(0) - -0 and v(5.1) - least two times during the flight when the speed was 200 miles per hour. |< 60 < and since v(to) - such that the following is true. (Round your answer to two decimal places.) we have 0 < 200 v(to). Thus, we can apply the Intermediate Value Theorem to the velocity function on the intervals [0, to] and [to 1 to see that there are all
A plane begins its takeoff at 2:00 p.m. on a 2170-mile flight. After 5.1 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 200 miles per hour. STEP 1:Let S(t) be the position of the plane. Let t= 0 correspond to 2 p.m., and fill in the following values. S(0) - STEP 2: The Mean Value Theorem says that there exists a time to. 2170- Sto)-v(to) - = 2170 STEP 3: Now v(0) - -0 and v(5.1) - least two times during the flight when the speed was 200 miles per hour. |< 60 < and since v(to) - such that the following is true. (Round your answer to two decimal places.) we have 0 < 200 v(to). Thus, we can apply the Intermediate Value Theorem to the velocity function on the intervals [0, to] and [to 1 to see that there are all
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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![A plane begins its takeoff at 2:00 p.m. on a 2170-mile flight. After 5.1 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 200 miles per hour.
STEP 1: Let S(t) be the position of the plane. Let t = 0 correspond to 2 p.m., and fill in the following values.
S(0) =
= 2170
STEP 2: The Mean Value Theorem says that there exists a time to,
2170-
S '(to) = v(to)
STEP 3: Now v(0) =
<-0
, and v(5.1) =
least two times during the flight when the speed was 200 miles per hour.
< to <
and since v(to)
=
, such that the following is true. (Round your answer to two decimal places.)
we have 0 < 200 < v(to). Thus, we can apply the Intermediate Value Theorem to the velocity function on the intervals [0, to] and [to
] to see that there are at](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8662d2e-45d6-4ad4-9d5d-41a3a3e900ca%2Fd62e2dfe-1587-41c0-b39c-ce3734295a0e%2Fphc97nl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A plane begins its takeoff at 2:00 p.m. on a 2170-mile flight. After 5.1 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 200 miles per hour.
STEP 1: Let S(t) be the position of the plane. Let t = 0 correspond to 2 p.m., and fill in the following values.
S(0) =
= 2170
STEP 2: The Mean Value Theorem says that there exists a time to,
2170-
S '(to) = v(to)
STEP 3: Now v(0) =
<-0
, and v(5.1) =
least two times during the flight when the speed was 200 miles per hour.
< to <
and since v(to)
=
, such that the following is true. (Round your answer to two decimal places.)
we have 0 < 200 < v(to). Thus, we can apply the Intermediate Value Theorem to the velocity function on the intervals [0, to] and [to
] to see that there are at
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