x(t) = At2/(t+B)

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 vehicle accelerates down an on ramp and eventually reaches highway speed. The position of the vehicle is described by the following equation:

x(t) = At2/(t+B)

Write an expression for the vehicle’s instantaneous velocity as a function of time.

What is the vehicle’s velocity after accelerating for 7 seconds? The equation’s parameters are as follows. A = 31 m/s B = 25 s 

 Determine the value of the vehicle’s velocity after it has been accelerating for a long time. The equation’s parameters are as follows. A = 31 m/s B = 25 s 

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