Answer:
It will take t = 5 [s]
Explanation:
To solve this problem we must use the following equation of kinematics, it is important to make it clear that when the object is dropped, its initial velocity is zero.
Let's take all the signs of the equation as positive, since the object falls in the direction of motion.
[tex]v_{f} =v_{o} +(g*t)[/tex]
where:
Vf = final velocity = 49 [m/s]
Vo = initial velocity = 0
g = gravity acceleration = 9.81 [m/s²]
t = time [s]
49 = 0 + 9.81*t
t = 49/9.81
t = 5 [s]