b) Determine the instantaneous velocity of the car at t = 4.5 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 n your answer.)

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A race car moves such that its position fits the relationship
(4.0 m/s)t + (0.65 m/s³)t³
X =
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?
x (m)
x (m)
180-
160
140
120
200-
180
160
140
120
100
100
80
80
60
60
40
40
20
20
t (s)
6.00
+ t (s)
6.00
1.00
2.00
3.00
4.00
5.00
1.00
2.00
3.00
4.00
5.00
X (m)
X (m)
25
80
70
20
60
50
15
40
10
30
20
5
10
+t(s)
6.00
+t(s)
6.00
1.00
2.00
3.00
4.00
5.00
1.00
2.00
3.00
4.00
5.00
(b) Determine the instantaneous velocity of the car at t = 4.5 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.)
50
At =
0.40 s
Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (Use the interval from t = 4.30 s to 4.70 s.)
Transcribed Image Text:A race car moves such that its position fits the relationship (4.0 m/s)t + (0.65 m/s³)t³ X = 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? x (m) x (m) 180- 160 140 120 200- 180 160 140 120 100 100 80 80 60 60 40 40 20 20 t (s) 6.00 + t (s) 6.00 1.00 2.00 3.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 X (m) X (m) 25 80 70 20 60 50 15 40 10 30 20 5 10 +t(s) 6.00 +t(s) 6.00 1.00 2.00 3.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 (b) Determine the instantaneous velocity of the car at t = 4.5 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.) 50 At = 0.40 s Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (Use the interval from t = 4.30 s to 4.70 s.)
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