Example 2.—Determine the remaining velocity v and time of flight t over a range of 1000 yds. of the same two shot, fired with the same muzzle velocity V = 2150 f/s.
S.
s/C.
S(V).
S(v).
v.
T(V).
T(v).
t/C.
t.
(a)
3000
1037
20700.53
19663.53
1861
28.6891
28.1690
0.5201
1.505
(b)
3000
7050
20700.53
13650.53
920*
28.6891
23.0803
5.6088
2.387
* These numbers are taken from a part omitted here of the abridged ballistic table.
In the calculation of range tables for direct fire, defined officially as "fire from guns with full charge at elevation not exceeding 15°," the vertical component of the resistance of the air may be ignored as insensible, and the actual velocity and its horizontal component, or component parallel to the line of sight, are undistinguishable.
The equations of motion are now, the co-ordinates x and y being measured in feet,
