326 PRACTICAL MATHEMATICS 



m(v n 850) 

 But when * = 0, s = 0, and = ^ jJ9 + 



Hence s 



This gives the horizontal distance in terms of the time of flight. 



As an exercise, let the diameter of the shot be 12 inches and 

 the mass 850 Ib. The shot starts with a horizontal muzzle 

 velocity of 2700 ft. per second. 



2gd 2 = 2 x 32-2 = 64-4 



m 

 m 



= 0-07577 



= 13-20 



s = 850* + 13-2(y - 850) (1 - e~ 

 = 850* + 24420(1 - a), where a = e~' 



