THE ROYAL ARTILLERY INSTITUTION. 
3 
(3) Suppose it was asked how much the velocity of a 115-lb. 
elongated shot would be reduced from 1200 f.s. in 3 //4 659. Here 
d 2 
d — 6'92 inches and — ‘Id64. We must first calculate the value of 
d 3 w 
t — — 3"*659 x ’4164= 1"‘5236. Hence the required velocity will be 
w 
opposite the time 1"‘5236 added to 1"‘7309, which belongs to the initial 
velocity 1200 f.s.; that is, opposite 3"*2545, which is 1004 f.s. Hence 
in 3"*659 the velocity of a 115-lb. shot would be reduced from 1200 to 
1004 f.s. 
The General Time Table for spherical shot is used in precisely the same 
manner to find either the time in which a given loss of velocity takes 
place, or the loss of velocity which takes place in a given time. The 
General Tables 20 and 21 connecting space and velocity were calculated 
from formula (1) in precisely the same manner as those connecting 
velocity and time have been calculated from formula (2) ; but the 
form of the equation connecting the space and time is one which 
does not admit of the formation of a general table to shew the direct 
dependence of one on the other. But suppose it was desired to know 
in what time a 115-lb. elongated shot would describe 4000 ft., starting 
with an initial velocity of 1200 f.s. First find what would be the velocity 
v when the shot had described 4000 ft. by the General Table 21, and 
then find by the help of Table 23 in what time the velocity would fall 
from 1200 f.s. to v. These general tables* may perhaps admit of being 
used to calculate the trajectories of shot fired with high initial velocities 
and low angles of elevation. 
December 20, 1871. 
