Tests are being run on a machine used to shoot balls into the air. A ball is launched at $11$:$59$:$58$ AM EST with an upward velocity of $14\mathrm{.}7$ meters per second. The ball reaches a maximum height of approximately $20$ meters. Identify the initial height of the ball and write a function to model the height of the ball with respect to time. What is the height of the ball at $12$:$03$:$28$ PM EST?

I think that I should use one of the following equations,

or

Which of these equations should I use? Why do these equations work for this problem?

Please respond to the above prompt