Answer:
d 0.431 seconds
Explanation:
[tex]y_0[/tex] = Height of the table = 91.2 cm
a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
[tex]u_y[/tex] = Initial velocity in y axis = 0
y = Height of floor = 0
t = Time taken to fall to the floor
[tex]y=y_0+u_y+\dfrac{1}{2}at^2\\\Rightarrow t=\sqrt{2\dfrac{y-y_0-u_y}{a}}\\\Rightarrow t=\sqrt{2\times \dfrac{0-0.912-0}{-9.81}}\\\Rightarrow t=0.431\ \text{s}[/tex]
The marble will be in the air for 0.431 seconds
