Question

Wiley The Coyote problem Pls Help Physics

Answer 1

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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