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An object moves along the x-axis with its position x given as a function of time t by: 

 

What is the object's velocity as a function of time?

 

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Kath
KathLv10
19 Mar 2021
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

If a single constant force acts on an object that moves on a straight line, the object's velocity is a linear function of time. The equation Gives its velocity v as a function of time, where a is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation Where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object.

 

If a single constant force acts on an object that moves on a straight line, the object's velocity is a linear function of time. The equation gives its velocity as a function of time, where is its constant acceleration. What if velocity is instead a linear function of position? Assume that as a particular object moves through a resistive medium, its speed decreases as described by the equation , where k is a constant coefficient and x is the position of the object. Find the law describing the total force acting on this object. 

An object is at x = 0 at t= 0 and moves along the x axis according to the velocity-time graph in Figure P2.62. (a) What is the object's acceleration between 0 and 4.0 s? (b) What is the object's acceleration between 4.0 s and 9.0 s? (c) What is the object's acceleration between 13.0 s and 18.0 s? (d) At what time(s) is the object moving with the lowest speed? (e) At what time is the object farthest from x= 0? (1) What is the final position x of the object at t = 18.0 s? (g) Through what total distance has the object moved between t= 0 and t=18.0 s?

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