Question

Q4. Determine the magnitudes of and for each of the initial velocity vectors below.

94 m/s
22°

Answer 1

Step-by-step explanation:

Given:

V₀ = 94 m/s

α = 22°

__________

Vₓ - ?

Vy - ?

Vx = V₀·cos α = 94·cos 22° ≈ 94·0.9272 ≈ 87 m/s

Vy = V₀·sin α = 94·sin 22° ≈ 94· 0.3746 ≈ 35 m/s

Check:

V₀ = √ ( Vₓ² + Vy²) = √ ( 87² + 35²) = √ (7569 + 1225) =

= √ (8794) ≈ 94 m/s