The motion of a point P with respect to a Cartesian coordinate system is described by 7 = (2√tî + (4 ln(t + 1) + 2t²) 3) ft where t denotes time, t> 0, and is expressed in seconds. Determine the average acceleration of P between times t₁ =4 s and t2 = 6 s and find the difference between it and the true acceleration of Pat t= 5.1 s. (Round the final answers to four decimal places, Include a minus sign if necessary.) The average acceleration of Pis a = 13) ft/s². =( The difference between the average acceleration and the true acceleration of Pis a avg - a (5.1 s) ft/s².

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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.