Answer:
The maximum height of the ball is 36.65 m.
Step-by-step explanation:
Given that,
Time = 5.47 sec
The ball must be at top point in half of total time.
We need to calculate the height
Using equation of motion
![s = ut+(1)/(2)gt^2](https://img.qammunity.org/2020/formulas/physics/college/8tjq19c7zyk09crq6s4u9nttp2dbttm0dj.png)
Where, s = height
u = initial velocity
g = acceleration due to gravity
Put the value in the equation
![s=0+(1)/(2)*9.8*((5.47)/(2))^2](https://img.qammunity.org/2020/formulas/physics/middle-school/ixike8j9owthlgqrzd05ryv03w8rc7hkde.png)
![s=36.65\ m](https://img.qammunity.org/2020/formulas/physics/middle-school/7gbnpfqtqzp7rr7jz49q994a5pkv8muhq5.png)
Hence, The maximum height of the ball is 36.65 m.