Answer:
0.73 s
Explanation:
The glass is in free fall, so its vertical position at time t is given by the equation:
[tex]y(t) = h + ut + \frac{1}{2}gt^2[/tex]
where
h = 2.6 m is the initial height
u = 0 is the initial velocity of the glass
[tex]g=-9.8 m/s^2[/tex] is the acceleration of gravity (downward since it is negative)
We want to know the time t at which the glass reaches the ground, so when
y(t) = 0
So the equation becomes
[tex]0 = h + \frac{1}{2}gt^2[/tex]
And solving for t, we find
[tex]t=\sqrt{\frac{-2h}{g}}=\sqrt{\frac{-2(2.6)}{-9.8}}=0.73 s[/tex]
