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The first equation shows that, after one second, an object will have fallen a distance of 1/2 × 9.8 × 1 2 = 4.9 m. After two seconds it will have fallen 1/2 × 9.8 × 2 2 = 19.6 m; and so on. On the other hand, the penultimate equation becomes grossly inaccurate at great distances.
[2] [3] At different points on Earth's surface, the free fall acceleration ranges from 9.764 to 9.834 m/s 2 (32.03 to 32.26 ft/s 2), [4] depending on altitude, latitude, and longitude. A conventional standard value is defined exactly as 9.80665 m/s² (about 32.1740 ft/s²).
Its symbol is written in several forms as m/s 2, m·s −2 or ms −2, , or less commonly, as (m/s)/s. [ 1 ] As acceleration, the unit is interpreted physically as change in velocity or speed per time interval, i.e. metre per second per second and is treated as a vector quantity.
Gravity on the Earth's surface varies by around 0.7%, from 9.7639 m/s 2 on the Nevado Huascarán mountain in Peru to 9.8337 m/s 2 at the surface of the Arctic Ocean. [6] In large cities, it ranges from 9.7806 m/s 2 [ 7 ] in Kuala Lumpur , Mexico City , and Singapore to 9.825 m/s 2 in Oslo and Helsinki .
For example, a stiff and compact object dropped from 1 m that impacts over a distance of 1 mm is subjected to a 1000 ɡ 0 deceleration. [citation needed] Jerk is the rate of change of acceleration. In SI units, jerk is expressed as m/s 3; it can also be expressed in standard gravity per second (ɡ 0 /s; 1 ɡ 0 /s ≈ 9.81 m/s 3). [citation needed]
It is a constant defined by standard as 9.806 65 m/s 2 (about 32.174 05 ft/s 2). This value was established by the third General Conference on Weights and Measures (1901, CR 70) and used to define the standard weight of an object as the product of its mass and this nominal acceleration .
mph 2.2369 kn ... (SI), equal to the speed of a body covering a distance of one metre in a time of one second. ... m·s −1, m s −1, or m / s . [2] Conversions
m is the mass of the falling object; g is the acceleration due to gravity (9.8 m/s 2) C d is the drag coefficient (~0.7 for head down position, ~1 for belly-to-earth position) [10] ρ is the density of the fluid through which the object is falling (1.23 kg/m 3 for air at sea level, and ~0.99 kg/m 3 [11] at the middle of the measurement zone ...