Answer
$\lambda=1.32\times 10^{-13}m$
$v=5300\frac{m}{s}$
Work Step by Step
(a) We know that
$\lambda=\frac{h}{mv}$
We plug in the known values to obtain:
$\lambda=\frac{6.626\times 10^{-34}}{1.67\times 10^{-27}\times (0.01)(2.9979\times 10^8)}$
$\lambda=1.32\times 10^{-13}m$
(b) As $v=\frac{h}{m\lambda}$
We plug in the known values to obtain:
$v=\frac{6.626\times 10^{-34}}{1.67\times 10^{-27}\times 75\times 10^{-12}}$
$v=5300\frac{m}{s}$