A race car moves such that its position fits the relationship x-(4.5 m/s) + (0.80 m/s where x is measured in meters and t in seconds. (a) A plot of the car's position versus time is which of the following? کا سا 100 O 90 O NO 70 30 10 20 10 xom) 1.00 2.00 3.00 4.00 3.00 6.00 201 30 20 15 10 O S x(m) 220 200 180 160 140 EV 120 100+ 40- 20 2(0) 1.00 2.00 3.00 4.00 5.00 6.00 1.00 2.00 3.00 4.00 5.00 6.00 1.00 2.00 3.00 4.00 5.00 6.00 (0) (b) Determine the instantaneous velocity of the car at t-4.4 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to see the limiting process keep at least three decimal places in your answer.)

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Chapter1: Units, Trigonometry. And Vectors
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A race car moves such that its position fits the relationship
x-(4.5 m/s)t + (0.80 m/s³³
where x is measured in meters and in seconds.
(a) A plot of the car's position versus time is which of the following?
برسا
100-
O
x(m)
90
80
70
60
30
30
20
10
O
x(m)
240
220
200
180
160
140
1201
100
80
60
200
180
160
140
120
EL
100
80
40
20
t(s)
40
1.00 2.00
20
t(s)
3.00 4.00 5.00 6.00
1.00 2.00 3.00 4.00 5.00
x(m)
6.00
30
25
20
15
10
5
x(m)
t(s)
1.00 2.00 3.00 4.00 5.00 6.00
220
t(s)
1.00 2.00 3.00 4.00 5.00 6.00
(b) Determine the instantaneous velocity of the car at t-4.4 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to better see the limiting process keep at least three decimal places in your answer.)
At-0.40 s
m/s (Use the interval from t-4.20 sto 4.60 s.)
At -0.20 s
m/s (Use the interval from t-4.30 sto 4.50 s.)
At - 0.10 s
m/s (Use the interval from t-4.35 sto 4.45 s.)
(c) Compare the average velocity during the first 4.4 s with the results of part (b).
The average velocity of
mys is
-Select-
the instantaneous velocity.
Transcribed Image Text:A race car moves such that its position fits the relationship x-(4.5 m/s)t + (0.80 m/s³³ where x is measured in meters and in seconds. (a) A plot of the car's position versus time is which of the following? برسا 100- O x(m) 90 80 70 60 30 30 20 10 O x(m) 240 220 200 180 160 140 1201 100 80 60 200 180 160 140 120 EL 100 80 40 20 t(s) 40 1.00 2.00 20 t(s) 3.00 4.00 5.00 6.00 1.00 2.00 3.00 4.00 5.00 x(m) 6.00 30 25 20 15 10 5 x(m) t(s) 1.00 2.00 3.00 4.00 5.00 6.00 220 t(s) 1.00 2.00 3.00 4.00 5.00 6.00 (b) Determine the instantaneous velocity of the car at t-4.4 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to better see the limiting process keep at least three decimal places in your answer.) At-0.40 s m/s (Use the interval from t-4.20 sto 4.60 s.) At -0.20 s m/s (Use the interval from t-4.30 sto 4.50 s.) At - 0.10 s m/s (Use the interval from t-4.35 sto 4.45 s.) (c) Compare the average velocity during the first 4.4 s with the results of part (b). The average velocity of mys is -Select- the instantaneous velocity.
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