Answer:
0.594 m/s
Explanation:
First, find the time it takes to land.
Given, in the y direction:
Δy = 2.225 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
(2.225 m) = (0 m/s) t + ½ (9.8 m/s²) t²
t = 0.674 s
Next, find the horizontal velocity.
Given, in the x direction:
Δx = 0.400 m
a = 0 m/s²
t = 0.674 s
Find: v₀
Δx = v₀ t + ½ at²
(0.400 m) = v₀ (0.674 s) + ½ (0 m/s²) (0.674 s)²
v₀ = 0.594 m/s
