A toy rocket is launched from the ground. It reaches a maximum height of $45$ meters at $3$ seconds after launch. If the height $h$ of the rocket, in meters, $t$ seconds after launch can be modeled by an equation of the form $h=-A(t-B{)}^2+C$, where $A$ is a positive constant, and it is known that $A=5$, which of the following equations represents the height of the rocket?