Answer:
We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;
t² = 39.2 × 2/9.81
From which we have;
The time it takes the snowball to reach the ground is approximately 2.83 seconds
Step-by-step explanation:
The height of the building from which the ball is dropped, h = 39.2 m
The equation of the dropped a snowball, is given as follows;
t² = 39.2 × 9.8
Using the From the equation of free fall, we have;
s = u·t + 1/2·g·t²
Where;
u = The initial velocity = 0 m/s
t = The time of flight
g = The acceleration due to gravity = 9.81 m/s²
Therefore, we get;
∴ s = The height from which the snowball is dropped = 39.2 m
Therefore, we get;
39.2 = 0×t + 1/2×9.81×t²
∴ t² = 39.2 × 2/9.81 ≈ 7.99
t = √(7.99) ≈ 2.83
The time it takes the snowball to reach the ground, t ≈ 2.83 s.
