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who enters the water first? by how much?  In a diving siblings showcase, 11 year old Hannah takes off from a 24.61 foot platform with an initial velocity of 9.7 ft/sec at the same time that her brother Tyler, who is 3.5 years older, takes off from a 32.81 foot platform with an initial velocity of 4.51 ft/sec. round to the nearest hundredth.

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The height function for constant acceleration is `h=-1/2 g t^2+v_0t+h_0` where `v_0` is the initial velocity and `h_0` is the initial height.  

For both children, the time to enter the water is found by setting the height to zero and solving for...

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