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A car was driving on a two-lane highway at 80 feet per second (about 55 mph) when it abruptly speeds up to pass a slow-moving truck. The velocity of the car (in f/sec) after t seconds is given by v(t) = 80 + 6t e t74 for (0sts30). (a) Find and interpret v(0), v(4) and v(30). (b) Find a formula for the position function s(t).

A car was driving on a two-lane highway at 80 feet per second (about 55 mph) when it abruptly speeds up to pass a slow-moving truck. The velocity of the car (in f/sec) after t seconds is given by v(t) = 80 + 6t e t74 for (0sts30). (a) Find and interpret v(0), v(4) and v(30). (b) Find a formula for the position function s(t).

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 position function is

​s(t)=??
A car was driving on a two-lane highway at 80 feet per second (about 55 mph) when it abruptly speeds up to pass a slow-moving truck. The velocity of the car (in ft/sec) after t seconds is given by 100- v(t) = 80 + 6t e -t/4 for (0sts30). 90- (a) Find and interpret v(0), v(4) and v(30). (b) Find a formula for the position function s(t). 70+ 0. Time (seconds) 10 20 30 ft/sec after 30 seconds. ft/sec after 4 seconds, and slowed back down to about 80 (a) The car started driving out at 80 ft/sec, sped up to about 89 (Round to the nearest whole number as needed.) (b) Setup the indefinite integral to find s(t). 4 80 +6t e dt 4 The position function is s(t) = 80t- 24(t+ 4) e %3D Velocity (ft/s) 80
Transcribed Image Text:A car was driving on a two-lane highway at 80 feet per second (about 55 mph) when it abruptly speeds up to pass a slow-moving truck. The velocity of the car (in ft/sec) after t seconds is given by 100- v(t) = 80 + 6t e -t/4 for (0sts30). 90- (a) Find and interpret v(0), v(4) and v(30). (b) Find a formula for the position function s(t). 70+ 0. Time (seconds) 10 20 30 ft/sec after 30 seconds. ft/sec after 4 seconds, and slowed back down to about 80 (a) The car started driving out at 80 ft/sec, sped up to about 89 (Round to the nearest whole number as needed.) (b) Setup the indefinite integral to find s(t). 4 80 +6t e dt 4 The position function is s(t) = 80t- 24(t+ 4) e %3D Velocity (ft/s) 80
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