Final answer:
The maximum height reached by the ball is 45.92 m.
Step-by-step explanation:
To find the maximum height reached by a ball thrown straight up, we can use the kinematic equation:
h = (v02)/(2g)
Where:
- h is the maximum height
- v0 is the initial velocity (30 m/s)
- g is the acceleration due to gravity (-9.8 m/s²)
Plugging in the values, we get:
h = (302)/(2*(-9.8))
Simplifying the equation gives:
h = 45.92 m
Therefore, the maximum height reached by the ball is 45.92 m.