a bird flying horizontally accidently drops a rock it was carrying. 2.10s later, the rocks velocity is 22.2m/s in a - 68.2 direction. what was the birds (and rocks) initial velocity

8.24 m/s

Explanation:

Given:

t = 2.10 s

v₀ᵧ = 0 m/s

vₓ = 22.2 cos (-68.2) m/s

aₓ = 0 m/s²

Find: v₀

In the x direction:

v = at + v₀

22.2 cos (-68.2) = (0) (2.10) + v₀ₓ

v₀ₓ = 8.24

v₀² = v₀ₓ² + v₀ᵧ²

v₀² = (8.24) ² + (0) ²

v₀ = 8.24 m/s