To find the time taken for the stone to reach its maximum height, we can use the following formula:
Time (t) = Initial velocity (u) / Acceleration due to gravity (g)
In this case, the initial velocity (u) is given as 30 m/s. The acceleration due to gravity (g) on Earth is approximately 9.8 m/s².
Substituting these values into the formula, we can calculate the time taken:
t = 30 m/s / 9.8 m/s² t ≈ 3.06 s
Therefore, the time taken for the stone to rise to its maximum height is approximately 3.06 seconds.