Answer:
4.57 m/s
Explanation:
First, find the time it takes to fall 33.1 m. Take down to be positive.
Given:
Δy = 33.1 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
(33.1 m) = (0 m/s) t + ½ (9.8 m/s²) t²
t = 2.60 s
Now find the horizontal velocity needed to travel 11.88 m.
Given:
Δy = 11.88 m
t = 2.60 s
a = 0 m/s²
Find: v₀
Δx = v₀ t + ½ at²
(11.88 m) = v₀ (2.60 s) + ½ (0 m/s²) (2.60 s)²
v₀ = 4.57 m/s
