Question

a boat is moving 1.3m/s N while the steam current is pushing the boat 2.2m/s What is the resultant velocity( I also need the givens,and the formula as well as the answer please and thank youuu)

Answer 1

6) 2.6 m/s, 31°

7) 9.2 m/s

8) 1.2 s

Step-by-step explanation:

I'll do #6, #7, and #8 as examples. You can solve #9 using the equation from #7, and #10 using the equation from #8.

6) Take north to be +y and east to be +x.

Given:

vₓ = 2.2 m/s

vᵧ = 1.3 m/s

Find: v

v² = vₓ² + vᵧ²

v² = (2.2 m/s)² + (1.3 m/s)²

v ≈ 2.6 m/s

θ = atan(vᵧ / vₓ)

θ = atan(1.3 / 2.2)

θ ≈ 31°

7) Given:

Δy = -4.3 m

v₀ = 0 m/s

a = -9.8 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (-9.8 m/s²) (-4.3 m)

v ≈ 9.2 m/s

8) Given:

Δy = -6.7 m

v₀ = 0 m/s

a = -9.8 m/s²

Find: t

Δy = v₀ t + ½ at²

-6.7 m = (0 m/s) t + ½ (-9.8 m/s²) t²

t = 1.2 s