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....
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The position of function is s(t)=?
Transcribed Image Text:100-
Transcribed Image Text:A car was driving on a two-lane highway at 85 feet per second (about 58 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
v(t) = 85 + 9t e -t/4
74 for (0sts30).
(a) Find and interpret v(0), v(4) and v(30).
(b) Find a formula for the position function s(t).
ft/sec after 30 seconds.
ft/sec,
sped up to about 98
ft/sec
after 4 seconds, and slowed back down to about 85
(a) The car started driving out at 85
(Round to the nearest whole number as needed.)
(b) Setup the indefinite integral to find s(t).
4
85+9t e
dt
4
- 144 e
4
+ 144
The position function is s(t) = 85t + 36t e
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