exam Maths Puzzle Numerical Ability

An astronaut standing on the surface of the moon throws a rock upward. The height of the rock is given by s=-2.7t^2+27t+6.3, where s is the height in metres and t is the time in seconds.What was the initial height of the rock?

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I am trying to figure out this equation. this is from a question from class not in our book.

The length of the latus rectum of 25x^2-36x^2=225 is_________.

thanks for any he Please help.Solve each of the systems by substitution
5x-2y = -5
y - 5x = 3
Thank you.