Answer
24.49m/s
Work Step by Step
$v $ (initial velocity)$= 31m/s$
$ v_{x} = 19m/s$
Formula for horizontal velocity:
$v^{2} = {v_{x}}^{2} + {v_{y}}^{2}$
Make ${v_{y}}$ the subject of the formula:
$ {v_{y}}^{2} = v^{2} - {v_{x}}^{2}$
$ {v_{y}} = \sqrt {v^{2} - {v_{x}}^{2}}$
Substitute the values into the equation:
$ {v_{y}} = \sqrt {31m/s^{2} - {19m/s}^{2}}$
$ {v_{y}} = 24.49$
