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Why couldn't we use the 2nd kinematics equation: the displacement = (v+v0/2)(time)?
Hi arishenryl, thank you for the question. Solving part (a) first wouldn't be possible with since we don't know , the time it takes to get to the maximum height. We could use that formula after solving part (b), but it's a bit risky using values you've calculated in subsequent parts of the question.
Hope that helps,
Shaun