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A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.60 m/s3)t3 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) 25 220- 200 180 20 160 140 15 120 100 10 80 60 5 40 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) 80- 180 70 160 140 60 120 50 100 40 80 30 60 40 20 20 10 t (s) 6.00 + t (s) 1.00 2.00 3.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 6.00 .....: (b) Determine the instantaneous velocity of the car at t = 4.9 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 fromt = 4.70 s to 5.10 s.) At = 0.20 s m/s (Use the interval fromt = 4.80 s to 5.00 s.) At = 0.10 s m/s (Use the interval from t = 4.85 s to 4.95 s.) (c) Compare the average velocity during the first 4.9 s with the results of part (b). The average velocity of m/s is --Select--- v the instantaneous velocity.

A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.60 m/s3)t3 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) 25 220- 200 180 20 160 140 15 120 100 10 80 60 5 40 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) 80- 180 70 160 140 60 120 50 100 40 80 30 60 40 20 20 10 t (s) 6.00 + t (s) 1.00 2.00 3.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 6.00 .....: (b) Determine the instantaneous velocity of the car at t = 4.9 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 fromt = 4.70 s to 5.10 s.) At = 0.20 s m/s (Use the interval fromt = 4.80 s to 5.00 s.) At = 0.10 s m/s (Use the interval from t = 4.85 s to 4.95 s.) (c) Compare the average velocity during the first 4.9 s with the results of part (b). The average velocity of m/s is --Select--- v the instantaneous velocity.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.60 m/s3)t3 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) 25 220- 200 180 20 160 140 15 120 100 10 80 60 5 40 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) 80- 180 70 160 140 60 120 50 100 40 80 30 60 40 20 20 10 t (s) 6.00 + t (s) 1.00 2.00 3.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 6.00 .....: (b) Determine the instantaneous velocity of the car at t = 4.9 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 fromt = 4.70 s to 5.10 s.) At = 0.20 s m/s (Use the interval fromt = 4.80 s to 5.00 s.) At = 0.10 s m/s (Use the interval from t = 4.85 s to 4.95 s.) (c) Compare the average velocity during the first 4.9 s with the results of part (b). The average velocity of m/s is --Select--- v the instantaneous velocity.
Transcribed Image Text:A race car moves such that its position fits the relationship x = (6.0 m/s)t + (0.60 m/s3)t3 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) 25 220- 200 180 20 160 140 15 120 100 10 80 60 5 40 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) 80- 180 70 160 140 60 120 50 100 40 80 30 60 40 20 20 10 t (s) 6.00 + t (s) 1.00 2.00 3.00 4.00 5.00 1.00 2.00 3.00 4.00 5.00 6.00 .....: (b) Determine the instantaneous velocity of the car at t = 4.9 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 fromt = 4.70 s to 5.10 s.) At = 0.20 s m/s (Use the interval fromt = 4.80 s to 5.00 s.) At = 0.10 s m/s (Use the interval from t = 4.85 s to 4.95 s.) (c) Compare the average velocity during the first 4.9 s with the results of part (b). The average velocity of m/s is --Select--- v the instantaneous velocity.
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