Answer:
The time is 0.90 sec.
Step-by-step explanation:
Given that,
Height = 4.00 m
We need to calculate the time
Using equation of motion
![s = ut-(1)/(2)(-g)t^2](https://img.qammunity.org/2020/formulas/physics/middle-school/wjrwyyfbsb2rwpc40sbrsxlsvzdb68pb1x.png)
For free fall, u = 0
![t =\sqrt{(2s)/(g)}](https://img.qammunity.org/2020/formulas/physics/middle-school/cdo9apuh0oengbbq306l26j5h7flt7iqtz.png)
Where, s = distance
g = acceleration due to gravity
t = time
Put the value into the formula
![t =\sqrt{(2*4.00)/(9.8)}](https://img.qammunity.org/2020/formulas/physics/middle-school/fa5o7qfeleuvrp686koab6bwfklfr5yn15.png)
![t= 0.90\ sec](https://img.qammunity.org/2020/formulas/physics/middle-school/wd9mc9ha9khjryggakw6vuutcvq5wnferv.png)
Hence, The time is 0.90 sec.