A plane begins its takeoff at 2:00 p.m. on a 2580-mile flight. After 5.8 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 100 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) = = 2580 STEP 2: The Mean Value Theorem says that there exists a time to, < to < , such that the following is true. (Round your answer to two decimal places.) 2580 - S (to) = v(to) = -0 STEP 3: Now v(0) = , and v(5.8) = , and since v(to) = , we have 0 < 100 < 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 least two times during the flight when the speed was 100 miles per hour. Need Help? Read It

A plane begins its takeoff at 2:00 p.m. on a 2580-mile flight. After 5.8 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 100 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) = = 2580 STEP 2: The Mean Value Theorem says that there exists a time to, < to < , such that the following is true. (Round your answer to two decimal places.) 2580 - S (to) = v(to) = -0 STEP 3: Now v(0) = , and v(5.8) = , and since v(to) = , we have 0 < 100 < 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 least two times during the flight when the speed was 100 miles per hour. Need Help? Read It

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 51RE: The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years....

See similar textbooks

Similar questions

The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
The population of a city is modeled by the equation P(t)=256,114e0.25t where t is measured in years. Ifthe city continues to grow at this rate, haw manyyears will it take for the population to reach onemillion?
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?