Let f(t) be the velocity in meters/second of a car at time t in seconds. Give an integral for the change of position of the car. (a) For the time interval 0

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Chapter1: Functions And Models
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Let f(t) be the velocity in meters/second of a car at time t in seconds.
Give an integral for the change of position of the car.
(a) For the time interval 0 <t<75.
75
Change in position
tf (t)dt meters.
75
f(t)
-dt meters.
Change in position
75
Change in position =
/ f'(1)dt meters.
75
Change in position =
| f'(1)dt meters.
75
Change in position =
f(t)dt meters.
b) In terms of T in minutes, for the same time interval.
1.25
Change in position =
f'(60T)60 dT meters.
1.25
Change in position =
f(T)dT meters.
1.25
Change in position =
f(60T)60T dT meters.
1.25
Change in position =
f(60T)dT meters.
1.25
Change in position
f(60T)60 dT meters.
Transcribed Image Text:Let f(t) be the velocity in meters/second of a car at time t in seconds. Give an integral for the change of position of the car. (a) For the time interval 0 <t<75. 75 Change in position tf (t)dt meters. 75 f(t) -dt meters. Change in position 75 Change in position = / f'(1)dt meters. 75 Change in position = | f'(1)dt meters. 75 Change in position = f(t)dt meters. b) In terms of T in minutes, for the same time interval. 1.25 Change in position = f'(60T)60 dT meters. 1.25 Change in position = f(T)dT meters. 1.25 Change in position = f(60T)60T dT meters. 1.25 Change in position = f(60T)dT meters. 1.25 Change in position f(60T)60 dT meters.
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