Answer:
6.6 s.
Step-by-step explanation:
From the question given above, the following data were obtained:
Height (h) = 215 m
Time (t) =..?
Thus, we can obtain the time taken for the ball to get to the ground by applying the following formula:
h = ½gt²
Where:
h is the height.
g is the acceleration due to gravity
t is the time to taken.
With the above formula, the time taken for the ball to get to the ground can be obtained as follow:
Height (h) = 215 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =..?
h = ½gt²
215 = ½ × 9.8 × t²
215 = 4.9 × t²
Divide both side by 4.9
215 / 4.9 = t²
Take the square root of both side.
t = √(215 / 4.9)
t = 6.6 s
Therefore, it will take 6.6 s for the ball to get to the ground.