A spring is stretched a distance x from its original length. The potential energy stored in the spring is directly proportional to x squared. The potential energy stored in the spring when it is stretched 0.25m is 600 J. Derive an equation for the potential energy stored in the spring. Note:  You must determine the value of the constant.

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A: Given: v(t) = 9 - 6t, t = 0.5s

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.