When the velocity and the acceleration are changing, we can define the instantaneous velocity or acceleration at any moment as the average values... … - Steven Weinberg

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When the velocity and the acceleration are changing, we can define the instantaneous velocity or acceleration at any moment as the average values... over a vanishingly small time interval centered on that moment. Newton's Law actually relates the force to the instantaneous acceleration.

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About Steven Weinberg

Steven Weinberg (born 3 May 1933 – 23 July 2021) was an American physicist. He was awarded the 1979 Nobel Prize in Physics (with colleagues Abdus Salam and Sheldon Glashow) for combining electromagnetism and the weak force into the electroweak force.

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Additional quotes by Steven Weinberg

The years since the mid-1970s have been the most frustrating in the history of particle physics. We are paying the price of our own success: theory has advanced so far that further progress will require the study of processes at energies far beyond the reach of existing facilities. In order to break out of this impasse, physicists began in 1982 to develop plans for a scientific project of unprecedented size and cost, known as the Superconducting Super Collider.

In 1929 Hubble announced... a "roughly linear" relation between and distance. ...His data points ...did not really support a linear relation. But in the early 1930s he had measured redshifts and distances out to the , with a redshift <math>z \eqsim 0.02</math>, corresponding to... 7,000 km/sec and a linear relation... was evident. The conclusion... the universe is really expanding. ...At the time of writing, the largest... <math>z=6.96</math>.
It may eventually become possible to measure the expansion rate <math>H(t) \equiv \dot{a}(t)/a(t)</math> at times <math>t</math> earlier than the present, by observing the change in very accurately measured redshifts of individual galaxies over times as short as a decade.

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