A small rock is thrown straight up from the edge of the roof of a building. Air resistance can be neglected. The rock travels upward and then descends to the ground, missing the roof on the way back down. The maximum height that the rock reaches above the roof is 8m. The rock reaches the ground at 4s after it was thrown. What is the height of the building?

A small rock is thrown straight up from the edge of the roof of a building. Air resistance can be neglected. The rock travels upward and then descends to the ground, missing the roof on the way back down. The maximum height that the rock reaches above the roof is 8m. The rock reaches the ground at 4s after it was thrown. What is the height of the building?

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