Steven's Cat Math: This weekend I observed a cat, known as Fluffy, running across a branch and attempting to jump up to another tree. Unfortunately, Fluffy missed the other tree and fell to the ground. Luckily, Fluffy was uninjured! The mathematician in me analyzed the situation and came up with the following: Let: h= Fluffy (m) t=time (sec) Equation: h = -9.8(m/sec)t² + 5(m/sec)t + 11(m) OR h = 9.8t² + 5t + 11 - 1) At 0.255 seconds, Fluffy reaches the peak of his trajectory. How high was fluffy before he began to fall? 2) How high was Fluffy before he jumped? 3) About how long was Fluffy falling before reaching the ground? (When would h=0 ft?) # (How to plot in graph) 4) Using the information from questions #1-3, sketch the graph the represents the Fluffy's height vs. time. Label your both axes 10 5s 0.5 A 5) From the equation, how fast was Fluffy running when he jumped? 15 2

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