Answer
$1.91s$
Work Step by Step
We know that
$\Delta t=\sqrt{\frac{2h}{g(1-\frac{v^2}{c^2})}}$
We plug in the known values to obtain:
$\Delta t=\sqrt{\frac{2(3.7m)}{(9.8)(1-(\frac{0.89c}{c})^2)}}$
$\Delta t=1.91s$
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