Step-by-step explanation:
Find the time it takes for the roadrunner to land.
Given (in the y direction):
Δy = 0 m
v₀ = v sin 10°
a = -9.81 m/s²
Find: t as a function of v
Δy = v₀ t + ½ at²
(0 m) = (v sin 10°) t + ½ (-9.81 m/s²) t²
t = (v sin 10°) / 4.905
Given (in the x direction):
Δx = 20.5 m
v₀ = v cos 10°
a = 0 m/s²
Find: t as a function of v
Δx = v₀ t + ½ at²
(20.5 m) = (v cos 10°) t + ½ (0 m/s²) t²
t = 20.5 / (v cos 10°)
Set equal and solve for v:
(v sin 10°) / 4.905 = 20.5 / (v cos 10°)
v² sin 10° cos 10° = 100.5525
v = 24.2485398301588
Graph:
desmos.com/calculator/x4b2zf1hxj
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