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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.)

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.)

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 69P: A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0...
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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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