A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec² is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10. What is the total distance the car travels in this 30 second interval? Your must show your work but you may use your calculator to evaluate. Give 3 decimal places in your answer and include units. +4

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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2. A car travels along a straight road for 30 seconds starting at time t = 0. Its
acceleration in ft/sec² is given by the linear graph below for the time interval [0, 30].
At t = 0, the velocity of the car is 0 and its position is 10.
What is the total distance the car travels in this 30 second interval? Your must show
your work but you may use your calculator to evaluate. Give 3 decimal places in your
answer and include units.
0
-5
-10
-15
0
12
00
10
12
14
16
18
20
22
24
26
28
30
Transcribed Image Text:2. A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec² is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10. What is the total distance the car travels in this 30 second interval? Your must show your work but you may use your calculator to evaluate. Give 3 decimal places in your answer and include units. 0 -5 -10 -15 0 12 00 10 12 14 16 18 20 22 24 26 28 30
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https://www.bartleby.com/questions-and-answers/a-car-travels-along-a-straight-road-for-30-seconds-starting-at-time-t-0.-its-acceleration-in-ftsec-i/503f715e-e4c9-4cea-a5ab-93145db0dedd#46ed236a-0734-4be2-9089-93df1292087a

I don't understand why the sign was changed from + to - in the second line of step 6.

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Follow-up Question

I don't understand step 4, why it was necessary to find when velocity is 0 and why velocity is 0 at t=20. Thank you

https://www.bartleby.com/questions-and-answers/a-car-travels-along-a-straight-road-for-30-seconds-starting-at-time-t-0.-its-acceleration-in-ftsec-i/503f715e-e4c9-4cea-a5ab-93145db0dedd

Step 4
now find the time when v=0
V = 0
10t
-
10
+ (10 - 1) =
t²
2
-
here t=0 is the starting point so we can divide both sides by t
10-\frac{t}{2}=0
0
t
t=20
= 0
Transcribed Image Text:Step 4 now find the time when v=0 V = 0 10t - 10 + (10 - 1) = t² 2 - here t=0 is the starting point so we can divide both sides by t 10-\frac{t}{2}=0 0 t t=20 = 0
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