Answer:
(3) 180 m
Step-by-step explanation:
y = y₀ + vt − ½ at²
where y is the final height,
y₀ is the initial height,
v is the final velocity,
a is acceleration,
and t is time.
Given y₀ = 0 and a = -10.
y = vt + 5t²
At maximum height, v = 0:
y = 5t²
The ball reaches the same height at 4s and 8s, so the peak is in the middle at 6s.
y = 5(6)²
y = 180
The ball reaches a maximum height of 180 m.