What is the time interval between the release of the ball and the time it reaches its maximum hieght? the acceleration gravity is 9.81m/s^2 and the maximum height is 4.4. m. neglect air resistance

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