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this by first multiplying each term in eq. 3 by 𝑥̇[m/s] (speed): By the chain rule we have that 𝜕ₜ𝑥̇² =2𝑥̇𝑥̈, yielding: Equation 4 We’re almost there. And by noting that eq. 4 and eq. 2 (conservation of energy) are both equal to zero we can write: Now all there’s left to do is use some integral