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  2. Naismith's rule - Wikipedia

    en.wikipedia.org/wiki/Naismith's_rule

    So, for example, if a route is 20 kilometres (12 mi) with 1600 metres of climb (as is the case on leg 1 of the Bob Graham Round, Keswick to Threlkeld), the equivalent flat distance of this route is 20+(1.6×8)=32.8 kilometres (20.4 mi). Assuming an individual can maintain a speed on the flat of 5 km/h, the route will take 6 hours and 34 minutes.

  3. Slope field - Wikipedia

    en.wikipedia.org/wiki/Slope_field

    Solutions to a slope field are functions drawn as solid curves. A slope field shows the slope of a differential equation at certain vertical and horizontal intervals on the x-y plane, and can be used to determine the approximate tangent slope at a point on a curve, where the curve is some solution to the differential equation.

  4. Tobler's hiking function - Wikipedia

    en.wikipedia.org/wiki/Tobler's_hiking_function

    Tobler's hiking function – walking speed vs. slope angle chart. Tobler's hiking function is an exponential function determining the hiking speed, taking into account the slope angle. [ 1 ] [ 2 ] [ 3 ] It was formulated by Waldo Tobler .

  5. Motion graphs and derivatives - Wikipedia

    en.wikipedia.org/wiki/Motion_graphs_and_derivatives

    The green line shows the slope of the velocity-time graph at the particular point where the two lines touch. Its slope is the acceleration at that point. Its slope is the acceleration at that point. In mechanics , the derivative of the position vs. time graph of an object is equal to the velocity of the object.

  6. Slope - Wikipedia

    en.wikipedia.org/wiki/Slope

    Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.

  7. Grade (slope) - Wikipedia

    en.wikipedia.org/wiki/Grade_(slope)

    2.65% (1 in 37.7) – Lickey Incline, UK; 2.6% (1 in 38) – A slope near Halden on Østfold Line, Norway – Ok for passenger multiple units, but an obstacle for freight trains which must keep their weight down on this international mainline because of the slope. Freight traffic has mainly shifted to road. 2.3% (1 in 43.5) – Schiefe Ebene ...

  8. Mild-slope equation - Wikipedia

    en.wikipedia.org/wiki/Mild-slope_equation

    The standard mild slope equation, without extra terms for bed slope and bed curvature, provides accurate results for the wave field over bed slopes ranging from 0 to about 1/3. [11] However, some subtle aspects, like the amplitude of reflected waves, can be completely wrong, even for slopes going to zero.

  9. Interval (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Interval_(mathematics)

    For example, the set of real numbers consisting of 0, 1, and all numbers in between is an interval, denoted [0, 1] and called the unit interval; the set of all positive real numbers is an interval, denoted (0, ∞); the set of all real numbers is an interval, denoted (−∞, ∞); and any single real number a is an interval, denoted [a, a].