Answer
$ v=19m/s $
Work Step by Step
Subscript:
i = initial
f= final
a = air resistance
$
mass = \frac{weight}{gravity}$
$mass = \frac{5.29}{9.8}$
$mass = 0.54$
$U_i = K_f + E_a$
$ K_f= U_i- E_a$
$ \frac{1}{2}mv^2= mgh - F_ah$
$ \frac{1}{2}mv^2= Wh- F_ah$
$ v=\sqrt { \frac{ 2(Wh- F_ah)}{m}} $
$ v=\sqrt { \frac{ 2[(5.29\times19.44)- (0.265\times19.44)]}{0.54}} $
$ v=19m/s $