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The Diver Problem- A Quadratic Function. Diving into Quadratics. The Diver Problem. Suppose h( t ) = -5 t 2 + 10 t + 3 is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard.
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The Diver Problem- A Quadratic Function Diving into Quadratics
The Diver Problem • Suppose h(t) = -5t2 + 10t + 3 is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard. a. How high above the water is the springboard? Explain how you know.
h(t) = -5t2 + 10t + 3 • When does the diver hit the water? • At what time on the diver’s descent toward the water is the diver at the same height as the springboard?
h(t) = -5t2 + 10t + 3 d. When does the diver reach the peak of the dive?
h(t) = -5t2 + 10t + 3 • Graph the function • Label the vertex, the y-intercept, and the x-intercepts and explain what each represents in the context of this problem