Explanation:
Given parameters:
Time of drop  = 3.82s
Unknown:
Final velocity of the ball  = ?
Height of fall  = ?
Solution:
To solve this problem, we apply the appropriate motion equation.
 To find the final velocity;
  v  = u + gt
v is the unknown final velocity
u is the initial velocity  = 0m/s
g is the acceleration due to gravity  = 9.8m/s²
t is the time
 v  = 0  + 9.8 x 3.82  = 37.4m/s
Height of drop;
    H  = ut + [tex]\frac{1}{2}[/tex]gt² Â
So;
    H  = (0 x 3.82) + ( [tex]\frac{1}{2}[/tex] x 9.8 x 3.82²) = 71.5m