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The phrase "a given velocity" is correct and usable in written English.
It can be used in contexts where you are discussing a specific velocity that has been defined or established for a particular situation or calculation.
Example: "In this experiment, we will analyze the effects of a given velocity on the trajectory of the projectile."
Alternatives: "a specified velocity" or "a defined velocity".
Exact(51)
For a given velocity the coefficient of friction increases with decreasing temperature.
More abrupt accelerations are associated with thinner boundary layers and greater pressure gradients for a given velocity magnitude.
At its simplest, monetarist theory postulates that in the economy there is a fixed amount of money, which circulates at a given velocity.
If the particles reach a given velocity, called "critical velocity", they can bind to the surface and create a coating.
In particular, the MHD kinematics equations can be used to simulate the magnetic field induced by a given velocity field.
The expression relating force and velocity can be inverted to find the forces that generate a given velocity boundary condition.
Similar(9)
Rule 1 inhibits the beginning of swing of the receiver leg as long as the sender leg is in swing plus a given velocity-dependent delay (delay_1b) after swing is finished.
The purpose of the study is to develop simple tools for finding the maximum deflection of a beam for any given velocity of the travelling force.
In theory, a C.V.T. should do a better job of choosing the most efficient engine speed for a car's given velocity than a conventional automatic (or a gearshift-mangling teenager) would.
At a given impact velocity, the velocity of the failure front is significantly higher during early penetration than during steady-state penetration of the rod.
Smaller liquid viscosity, bigger inclination and larger diameter can all delay the occurrence of flooding respectively, leading to a larger critical gas velocity at a given liquid velocity.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com