Two particles are fixed on an $x$ axis. Particle $1$ of charge $49\mathrm{.}0C$ is located at $x=-15\mathrm{.}5cm$; particle $2$ of charge $Q$ is located at $x=32\mathrm{.}3cm.$ Particle $3$ of charge magnitude $46\mathrm{.}4C$ is released from rest on the $y$ axis at $y=15\mathrm{.}5cm.$ What is the value of $Q$ if the initial acceleration of particle $3$ is in the positive direction of $($a$)$ the $x$ axis and $($b$)$ the $y$ axis?

$($a$)$ Number Units

$($b$)$ Number Units