Answer:
85.77 m
Explanation:
From the question given above, the following data were obtained:
Initial velocity (u) = 41 m/s
Final velocity (v) = 0 m/s (at maximum height)
Acceleration due to gravity (g) = 9.8 m/s²
Maximum height (h) =?
The maximum height reached by the ball can be obtained as follow:
v² = u² – 2gh (since the ball is going against gravity)
0² = 41² – (2 × 9.8 × h)
0 = 1681 – 19.6h
Collect like terms
0 – 1681 = –19.6h
–1681 = –19.6h
Divide both side by –19.6
h = –1681 / –19.6
h = 85.77 m
Thus, the maximum height reached by the ball is 85.77 m
