Answer:
The time taken by the falling object is 2.04 sec
Solution:
The initial velocity [tex]V = -10 m/s[/tex]
The final velocity [tex]V_1 = -30m/s[/tex]
Let us assume that the time taken is t sec
We know that the acceleration due to gravity [tex]g = 9.8m/sec^2[/tex]
As per the free falling object motion,
[tex]V_1 = V -gt[/tex]
[tex]-30 = -10 -9.8\times t[/tex]
[tex]-30+10 = -9.8\times t[/tex]
[tex]-20 = -9.8\times t[/tex]
[tex]t =\frac{20}{9.8} = 2.04[/tex]
So, it takes total 2.04 sec
