Two have already been discussed above, in the cases that either the radial components or the angular components are zero, and the non-zero component of motion describes uniform acceleration.
12.
A system in thermodynamic equilibrium may move with uniform acceleration through space but must not change its shape or size while doing so; thus it is defined by a rigid volume in space.
13.
The time required for a vehicle entering with acceleration a i to transect the sum of the setback and shoulder distances d i under uniform acceleration a i from a stop via the equations of motion:
14.
The differential equation of motion for a particle of constant or uniform acceleration in a straight line is simple : the acceleration is constant, so the second derivative of the position of the object is constant.
15.
Galileo proposed that a falling body would fall with a uniform acceleration, as long as the resistance of the medium through which it was falling remained negligible, or in the limiting case of its falling through a vacuum.
16.
Between two train stations a train travels the first 1 / n th of the distance with uniform acceleration, then with uniform speed " v ", and for the last 1 / n th of the distance with uniform deceleration.
17.
The reason is that uniform acceleration describes a hyperbola in spacetime ( see hyperbolic motion ), and anything beyond the asymptotes ( which cross at a distance of c 2 / a ) can't possibly catch up with you without exceeding c.
18.
He also derived the correct kinematical law for the distance travelled during a uniform acceleration starting from rest namely, that it is proportional to the square of the elapsed time ( " d " " " t " 2 ).
19.
The system can be in thermodynamic equilibrium only if the external force fields are uniform, and are determining its uniform acceleration, or if it lies in a non-uniform force field but is held stationary there by local forces, such as mechanical pressures, on its surface.
20.
In the 14th-century, the Oxford Calculators of Merton College and French collaborators such as Nicole Oresme proved the "'mean speed theorem "', also known as the "'Merton Rule "'of uniform acceleration, or the "'Merton mean speed theorem " '.
