Problem 10 of 34fun-010
A ball is thrown upward from a balcony. Its height, in meters, seconds after the throw is . What is the maximum height of the ball, in meters?
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Solution walkthrough1:35
- Graph height against time. The curve is a parabola that opens downward, so its top is the vertex.
- The vertex is at . With and : .
- That is the time, not the height. Put into the model: .
- . The maximum height is meters.
- Traps: is the time of the peak. leaves off the . comes from using .