13(a) The position of a particle in millimeters is given by s = 57 - 22t + t2 where t is in seconds. Plot the s-t and v-t relationships for the first 19 seconds. Determine the net displacement Δs during that interval and the total distance D traveled. By inspection of the s-t relationship, what conclusion can you reach regarding the acceleration?

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A: Solution; at t=0 x= -2.5 m v=0 for t = 0 to t= 0.8 a=dvdt=3.8-00.8=4.75 m/s2v0.53=at=4.75×0.53=2.52…

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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.