A particle is moving along a straight line with the acceleration a=(12t- 3(t^1/2)) ft/s^2, where t is in seconds. Determine the velocity and the position of the particle as a function of time. When t = 0, v = 0, s = 15ft.

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A: The velocity of particle is v(t) = [0.8t2 i + 12t1/2 j + 5 k] m/s

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Q: Q10) A particle is moving along a straight line with the acceleration a = (12t-3/2) ft/s², where t…

A: The acceleration of the particle, (a)=(12t- 3 t1/2 ) ft/s2.When, t=0, v=0 and s=15 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.