Answer:
Time = t = 6.62 s
Explanation:
Given data:
Height = h = 215 m
Initial velocity = [tex]v_{i}[/tex] = 0 m/s
gravitational acceleration = g = 9.8 m/s²
Time = t = ?
According to second equation of motion
[tex]h = v_{i}t + \frac{1}{2}gt^{2}[/tex]
As initial velocity is zero, So the first term of right hand side of above equation equal to zero.
[tex]h = \frac{1}{2}gt^{2}[/tex]
t² = [tex]\frac{2h}{g}[/tex]
t =[tex]\sqrt{\frac{2h}{g} }[/tex]
t = [tex]\sqrt{\frac{(2)(215) }{9.8} }[/tex]
t = 6.62 s