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How to come up with an equation for word problem?

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The worded problem is: A ball is thrown upward from the roof of a 25. building. The ball reaches a height of 45 m above the ground after 2s and hits the ground 5s after being thrown. what expression could i use to show function of time?

Sep 11th, 2014

Look at this document for answer: Building Problem.jpg

There are different ways of coming up with this equation. One of the ways is by drawing it in a coordinate plane and finding the vertex form equation y = a(x-h) + k. 

Answer is: f(t) = -5t^2 + 20t + 25; where t>=0

Sep 11th, 2014

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