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## Step 1: Identify the given values and the formula### We are given the initial velocity and need to find the maximum height. The relevant equation is , where at the maximum height.## Step 2: Substitute the known values into the equation### Substitute , , and into the equation \( 0 = (25 \, \text{m/s})^2 + 2(-9.8 \, \text{m/s}^2)d \).## Step 3: Solve for ### Rearrange the equation to solve for :