Starting from x=0 with an initial velocity, a particle is given an acceleration a=0.1(v2 +16)1/2, where a and v are expressed in ft/s2 and ft/s respectively. Determine a) the position of the particle when v=3ft/s, b) the speed and acceleration when x=4 ft.

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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.