A quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of $7$ meters above the ground and reached a maximum height of $51.1$ meters above the ground $3$ seconds after the launch. How many seconds after the launch does the model estimate that the projectile will return to a height of $7$ meters?