A Nozomi Shinkansen train at rest travels from Osaka to Tokyo along a high-speed railroad track which makes a total of 3-hour journey, non-stop. From Osaka station, its distance x is given as a function of time t by the equation x(t)=−αt2+βt3 where α=4.35mihr2 and β=13mihr3. Determine: a) The average and instantaneous velocity of the train as it reaches Tokyo in mph. b) The average and instantaneous acceleration of the train as it reaches Tokyo in mihr2

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 11P: A particle moves along the x axis according to the equation x = 2.00 + 3.00t 1.00t2, where x is in...
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A Nozomi Shinkansen train at rest travels from Osaka to Tokyo along a high-speed railroad track which makes a total of 3-hour journey, non-stop. From Osaka station, its distance x is given as a function of time t by the equation x(t)=−αt2+βt3 where α=4.35mihr2 and β=13mihr3. Determine:

a) The average and instantaneous velocity of the train as it reaches Tokyo in mph.
b) The average and instantaneous acceleration of the train as it reaches Tokyo in mihr2.

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