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The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 48 feet per second is f(t)= -16t² + 48t + 4. (a) Verify that f(1) = f(2). f(1) = f(2) = ft ft (b) According to Rolle's theorem, what must be the velocity (in ft/sec) at some time in the interval (1, 2)? ft/sec Find that time (in seconds). t = S

The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 48 feet per second is f(t)= -16t² + 48t + 4. (a) Verify that f(1) = f(2). f(1) = f(2) = ft ft (b) According to Rolle's theorem, what must be the velocity (in ft/sec) at some time in the interval (1, 2)? ft/sec Find that time (in seconds). t = S

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 48 feet per second is f(t)= -16t² + 48t + 4. (a) Verify that f(1) = f(2). f(1) = f(2) = ft ft (b) According to Rolle's theorem, what must be the velocity (in ft/sec) at some time in the interval (1, 2)? ft/sec Find that time (in seconds). t = S
Transcribed Image Text:The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial velocity of 48 feet per second is f(t)= -16t² + 48t + 4. (a) Verify that f(1) = f(2). f(1) = f(2) = ft ft (b) According to Rolle's theorem, what must be the velocity (in ft/sec) at some time in the interval (1, 2)? ft/sec Find that time (in seconds). t = S
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