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We are going to use a kinematics equation and the knowledge that the maximum height of a projectile is achieved when the velocity in the y direction equals 0.
d = vt - (1/2)at²
d = -(1/2)at²
-2d/a = t²
t = √((-2 * 4.4)/(-9.81))
t = √0.897
t = 0.95s