# Dynamics

posted by
**stan**
.

A French artillerist, Captain A. Le Duc,

developed an empirical formula for the velocity of a

projectile in terms of the distance traveled by the

projectile in the bore. For a 155-mm gun this

equation is

v = 3309s /(70 + s)

where s is the distance traveled in the bore in inches

and v is the speed of the projectile in feet per second.

Given that the distance the projectile travels in the

bore is 185 in., determine: (a) the magnitude of the

muzzle velocity of the projectile; (b) the magnitude of

the acceleration of the projectile when s = 50 in.