Terminal velocity is the maximum speed that a body falling through air can reach due to air resistance. terminal velocity is given by the formula y =
. where m is
cpa'
the mass of the falling object, g is acceleration due to gravity ( = 9.81 moters per second ). c is a drag coefficient with 0.5& cs 1.0. p is the density of air ( 1.2
kg/m), and a is the cross-sectional area of the object. suppose that a raindrop falls from the sky. the mass of the raindrop is given by m =
d where r is its radius
and d = 1000 kg/m. the cross-sectional area of the raindrop is a= air
(a) substitute the formulas for the mass and area of a raindrop into the formula for the terminal speed and simplify the expression,