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. (a) A plot of the car's position versus time is which of the following? (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 better see the limiting process keep at least three decimal places in your answer.) (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--- much less than about the same as much greater than the 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. (a) A plot of the car's position versus time is which of the following? (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 better see the limiting process keep at least three decimal places in your answer.) (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--- much less than about the same as much greater than the instantaneous velocity

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

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 6P: The position of a particle moving along the x axis varies in time according to the expression x =...

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Concept explainers

Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

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.

(a) A plot of the car's position versus time is which of the following?

(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 better see the limiting process keep at least three decimal places in your answer.)

The average velocity of m/s is ---Select--- much less than about the same as much greater than the instantaneous velocity

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