Verify the relation (5.44) for the displacement of an object falling from a (97 mathrm{~m}) tower from

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Verify the relation (5.44) for the displacement of an object falling from a \(97 \mathrm{~m}\) tower from a site of latitude \(45^{\circ}\). For estimating the centrifugal acceleration, neglect the effect of the Coriolis force during the fall. Help yourself with the determinant and assume the direction of fall \(\mathbf{r}^{\prime}=R_{T} \hat{\mathbf{k}}\).

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