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Physics, 18.02.2020 18:07 joelpimentel

To identify situations when position, velocity, and /or acceleration change, realizing that change can be in direction or magnitude. If an object's position is described by a function of time, rβƒ— (t) (measured from a nonaccelerating reference frame), then the object's velocity is described by the time derivative of the position, vβƒ— (t)=drβƒ— (t)dt, and the object's acceleration is described by the time derivative of the velocity, aβƒ— (t)=dvβƒ— (t)dt=d2rβƒ— (t)dt2. It is often convenient to discuss the average of the latter two quantities between times t1 and t2: vβƒ— avg(t1,t2)=rβƒ— (t2)βˆ’rβƒ— (t1)t2βˆ’t1 and aβƒ— avg(t1,t2)=vβƒ— (t2)βˆ’vβƒ— (t1)t2βˆ’t1.

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