Answer:
92.1 meters
Explanation:
Given:
x₀ = 0 m
y = y₀ = 0 m
v₀ₓ = 31 cos 35° m/s
v₀ᵧ = 31 sin 35° m/s
aₓ = 0 m/s²
aᵧ = -9.8 m/s²
Find: x
First, we need to find the time:
y = y₀ + v₀ t + ½ at²
0 = 0 + (31 sin 35) t − 4.9 t²
t = 0 or (31 sin 35) / 4.9
Now find x:
x = x₀ + v₀ t + ½ at²
x = 0 + (31 cos 35°) (31 sin 35) / 4.9 + 0
x ≈ 92.1
The ball travels 92.1 meters.
