A Based on observations, the speed of a jogger can be approximated by the relation v = 6.4 (1 − 0.03x)0.4 , where v and x are expressed in mi/h and miles, respectively. Knowing that x = 0 at t = 0, determine (a) the distance the jogger has run when t =1.5 h, (b) the jogger’s acceleration in ft/s2 at t = 0, (c) the time required for the jogger to run 5 mi.

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.