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A spacecraft with a proper length of $L_{p}$ passes by an observer on the Earth. According to this observer, it takes a time interval $\Delta t$ for the spacecraft to pass a fixed point. Determine the speed of the object as measured by the Earth-based observer.

$\frac{\left(L_{p} / \Delta t\right)}{\sqrt{\left(1+\left(\frac{L_{p}}{\Delta t c}\right)^{2}\right.})}$

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Numerade Educator

University of Washington

Simon Fraser University

Hope College

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