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Home » The length of the pendulum is approximately 3.97 meters. - Upplift

The length of the pendulum is approximately 3.97 meters. - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 \frac{dC}{dt} = -10(t+2)^{-2} = -1 \Rightarrow (t+2)^2 = 10 \Rightarrow t = \sqrt{10} - 2 \approx 1.16

📌 Still not matching options. But let’s suppose the question had \( C(t) = \frac{10(t+3)}{t+2} \)? No.

📌 Wait — perhaps the rate is \( -1 \) at integer \( t \). Try t=1: -10/9 ≈ -1.11, t=2: -10/16 = -0.625 — no.

📌 But perhaps the intended answer is when \( t = 2 \), but -0.625.

📌 Wait — maybe the rate is magnitude? But question says "rate of change".

📌 Alternatively, perhaps the function is \( C(t) = 10e^{-0.05t} \), but it's given as rational.

📌 Given discrepancy, but to align with format, assume typo in setup — perhaps intended answer is 2? But inaccurate.

📌 Wait — recompute:

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