Free Fall and the Accelaration of Gravity

Godisnemus
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If I were to throw an object in the air from the ground and it would reach 50% of its maximum height in 2 seconds, how does one find the object's total maximum height and total travel time?

This is the last question in my 1D kinematics chapter. I've been successful in resolving my other assigned questions but I can not wrap my mind around this one. In comparaison to the others, the question seems to be lacking sufficient data for me to able to resolve it. Any guidance would be appreciated. Thanks!
 
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There is sufficient data to solve the question.

The template you deleted is there for a reason - So we can provide better help, rather than teasing info piecewise out of you. Fill it out and we'll go from there:

Homework Statement

Homework Equations

The Attempt at a Solution

 

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