# Dynamics

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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.

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