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  2. Inertial frame of reference - Wikipedia

    en.wikipedia.org/wiki/Inertial_frame_of_reference

    In this case, the first car is stationary and the second car is approaching from behind at a speed of v 2 − v 1 = 8 m/s. To catch up to the first car, it will take a time of ⁠ d / v 2 − v 1 ⁠ = ⁠ 200 / 8 ⁠ s, that is, 25 seconds, as before. Note how much easier the problem becomes by choosing a suitable frame of reference.

  3. Heun's method - Wikipedia

    en.wikipedia.org/wiki/Heun's_method

    In mathematics and computational science, Heun's method may refer to the improved [1] or modified Euler's method (that is, the explicit trapezoidal rule [2]), or a similar two-stage Runge–Kutta method. It is named after Karl Heun and is a numerical procedure for solving ordinary differential equations (ODEs) with a given initial value.

  4. Terminal velocity - Wikipedia

    en.wikipedia.org/wiki/Terminal_velocity

    Since the net force on the object is zero, the object has zero acceleration. [1] [2] ... the hyperbolic tangent tends to 1, ... (2–4) in equation and solving for ...

  5. Rindler coordinates - Wikipedia

    en.wikipedia.org/wiki/Rindler_coordinates

    Even if we pick units where =, the magnitude of the proper acceleration will depend on our choice of units: for example, if we use units of light-years for distance, (or ) and years for time, (or ), this would mean = light year/year 2, equal to about 9.5 meters/second 2, while if we use units of light-seconds for distance, (or ), and seconds ...

  6. Proper acceleration - Wikipedia

    en.wikipedia.org/wiki/Proper_acceleration

    In relativity theory, proper acceleration [1] is the physical acceleration (i.e., measurable acceleration as by an accelerometer) experienced by an object. It is thus acceleration relative to a free-fall , or inertial , observer who is momentarily at rest relative to the object being measured.

  7. Tautochrone curve - Wikipedia

    en.wikipedia.org/wiki/Tautochrone_curve

    But Abel's mechanical problem requires the converse – given (), we wish to find () = /, from which an equation for the curve would follow in a straightforward manner. To proceed, we note that the integral on the right is the convolution of d ℓ / d y {\displaystyle {d\ell }/{dy}} with 1 / y {\displaystyle {1}/{\sqrt {y}}} and thus take the ...

  8. 4 predictions for the US housing market in 2025, according to ...

    www.aol.com/news/4-predictions-us-housing-market...

    The average home value, meanwhile, climbed to $359,099 in October, up by 2.6% annually, Zillow said. And per Freddie Mac, the rate on the 30-year fixed mortgage edged up to 6.84% last week.

  9. Hyperbolic motion (relativity) - Wikipedia

    en.wikipedia.org/wiki/Hyperbolic_motion_(relativity)

    Each hyperbola is defined by = / and = / (with =, =) in equation . Hyperbolic motion is the motion of an object with constant proper acceleration in special relativity . It is called hyperbolic motion because the equation describing the path of the object through spacetime is a hyperbola , as can be seen when graphed on a Minkowski diagram ...