Answer:
1.35 m
Step-by-step explanation:
First, find the time it takes to land. Given in the x direction:
Δx = 21 m
v₀ = 40 m/s
a = 0 m/s²
Find: t
Δx = v₀ t + ½ at²
(21 m) = (40 m/s) t + ½ (0 m/s²) t²
t = 0.525 s
Next, find the height. Given in the y direction:
v₀ = 0 m/s
a = 9.8 m/s²
t = 0.525 s
Find: Δy
Δy = v₀ t + ½ at²
Δy = (0 m/s) (0.525 s) + ½ (9.8 m/s²) (0.525 s)²
Δy = 1.35 m
Round as needed.