TABLES OP 
REMAINING VELOCITY, TIME OF FLIGHT, AND 
ENERGY OF VARIOUS PROJECTILES, 
CALCULATED FROM THE RESULTS OF EXPERIMENTS MADE WITH 
THE BASHFORTH CHRONOGRAPH, 1865-1870: 
BY 
The Bey. P. BASHFORTH, B.D., 
PEOFESSOB OP APPLIED MATHEMATICS TO THE ADVANCED CLASS, EOYAL AETILLEBY. 
{Continued from p. 392, Vol. VII.) 
Description and Use of General Tables 22 and 23 . 
Suppose a body to have been projected with an initial velocity V, and 
when moving with a velocity v to be acted upon by a retarding force 
2 bv z , at which instant let t denote the time and s the space described. 
Then the cubic law of resistance gives rise to the following expressions 
for determining s and t corresponding to a given loss of velocity V—v } 
namely 
and 4 bt = — — 
v 2 
1 
w 
The retarding effect of the air on the motion of projectiles has been 
expressed under the form 2 bv s ; but as the resistance of the air varies 
only approximately as the cube of the velocity, the coefficient b must 
yj 
vary with v. The numerical values of 2000 b for spherical and for 
elongated ogival-headed shot have been determined experimentally, 
where w = weight of the shot in lbs. and d its diameter in inches.* 
* “Reports on Experiments made with the Bashforth Chronograph, 1865-70,” pp. 114, 152. 
[VOL. VIII.] 1 
