Answer:
B - 813.16 m
Explanation:
First, find the time it takes to land. Given in the y direction:
Δy = 100 m
v₀ = 0 m/s
a = 9.8 m/s²
Find: t
Δy = v₀ t + ½ at²
100 m = (0 m/s) t + ½ (9.8 m/s²) t²
t = 4.52 s
Now find the distance traveled in that time. Given in the x direction:
v₀ = 180 m/s
a = 0 m/s²
t = 4.52 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (180 m/s) (4.52 s) + ½ (0 m/s²) (4.52 s)²
Δx = 813.16 m
