The Quadratic Formula - Defintion & Examples

An elementary school is enjoying a field day. Two students, Erin and Amrita, are participating in an egg toss, a game where the students toss a raw egg back and forth so see how great of a distance they can have between them without breaking the egg.

If Erin throws the egg with an initial velocity $v_{0}$ of $32$ feet per second from an initial height $h_{0}$ of $4$ feet, how many seconds does Amrita have to catch the egg before it splatters to the ground?

Use the equation $h(t)=-\frac12gt^2+v_{0}t+h_{0}$ with the force of gravity $g=32$ to find the total number of seconds.