A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.80 m/s³)t3 where x is measured in meters and t in seconds. %3D (a) A plot of the car's position versus time is which of the following? X (m) 260 240 220 200 180 160 140 120 100 80 60 40 20 X (m) 240 220 200 180 160 140 120 100 80 60 40 20 (a) Dt te 100 200 (b) De +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) 100 90 30 80 25 70 60 20 50 40 15 30 10 20 10 5 t (S) 6.00 1.00 2.00 3.00 t (s) 6.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 (b) Determine the instantaneous velocity of the car at t = 3.7 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to %3D better see the limiting process keep at least three decimal places in your answer.) At = 0.40 s m/s (Use the interval fromt = 3.50 s to 3.90 s.) %3D %3D At = 0.20 s m/s (Use the interval from t = 3.60 s to 3.80 s.) %3D At = 0.10 s m/s (Use the interval from t = 3.65 s to 3.75 s.) %3D (c) Compare the average velocity during the first 3.7 s with the results of part (b). The average velocity of m/s is ---Select--- 8the instantaneous velocity.
A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.80 m/s³)t3 where x is measured in meters and t in seconds. %3D (a) A plot of the car's position versus time is which of the following? X (m) 260 240 220 200 180 160 140 120 100 80 60 40 20 X (m) 240 220 200 180 160 140 120 100 80 60 40 20 (a) Dt te 100 200 (b) De +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) 100 90 30 80 25 70 60 20 50 40 15 30 10 20 10 5 t (S) 6.00 1.00 2.00 3.00 t (s) 6.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 (b) Determine the instantaneous velocity of the car at t = 3.7 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to %3D better see the limiting process keep at least three decimal places in your answer.) At = 0.40 s m/s (Use the interval fromt = 3.50 s to 3.90 s.) %3D %3D At = 0.20 s m/s (Use the interval from t = 3.60 s to 3.80 s.) %3D At = 0.10 s m/s (Use the interval from t = 3.65 s to 3.75 s.) %3D (c) Compare the average velocity during the first 3.7 s with the results of part (b). The average velocity of m/s is ---Select--- 8the instantaneous velocity.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:A race car moves such that its position fits the relationship
x = (6.0 m/s)t + (0.80 m/s³)t3
where x is measured in meters and t in seconds.
%3D
(a) A plot of the car's position versus time is which of the following?
X (m)
260
240
220
200
180
160
140
120
100
80
60
40
20
X (m)
240
220
200
180
160
140
120
100
80
60
40
20
(a) Dt
te 100
200
(b) De
+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)
100
90
30
80
25
70
60
20
50
40
15
30
10
20
10
5
t (S)
6.00
1.00
2.00
3.00
t (s)
6.00
4.00
5.00
1.00
2.00
3.00
4.00
5.00
(b) Determine the instantaneous velocity of the car at t = 3.7 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to
%3D
better see the limiting process keep at least three decimal places in your answer.)
At = 0.40 s
m/s (Use the interval fromt = 3.50 s to 3.90 s.)
%3D
%3D
At = 0.20 s
m/s (Use the interval from t = 3.60 s to 3.80 s.)
%3D
At = 0.10 s
m/s (Use the interval from t = 3.65 s to 3.75 s.)
%3D
(c) Compare the average velocity during the first 3.7 s with the results of part (b).
The average velocity of
m/s is ---Select---
8the instantaneous velocity.
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