A 220-m-wide river flows due east at a uniform speed of 3.8m/s. A boat with a speed of 7.8m/s relative to the water leaves the south bank pointed in a direction 35o west of north. What is the (a) magnitude and (b) direction of the boat's velocity relative to the ground

a) = 6.6m/s

b) = 125.15°

Explanation:

Speed of the boat =3.8m/s

width of the both = 220m

speed of boat relative to water = 3.8m/s, 35°

Relative Velocities V₀ = V₁ + V₂

V₀ = Velocity of the boat relative to ground

V₁ = Velocity of the boat relative to river

V₂ = Velocity of the river relative to ground

V₁ = Velocity of the boat relative to river = -4.47i + 6.55j

V₀ = Velocity of the boat relative to ground

= (-4.47i + 6.55j) + (3.8i)

= (0.67i + 6.55j)m/s

Magnitude V₀

/V₀/ = √(0.67² + 6.55²)

= 6.6m/s

b)

Direction of the boat relative to ground

cosθ= -V₂ / /V₀/

cosθ = -3.8 / 6.6

θ = 125.15°

all of the answers are correct.

falsification is manipulating research materials, equipment, or processes or changing or omitting data or results such that the research is not accurately represented in the research record. plagiarism is the appropriation of another person's ideas, processes, results, or words without giving appropriate credit.

explanation:

some think that theories become laws, but theories and laws have separate and distinct roles in the scientific method. a law is a description of an observed phenomenon in the natural world that hold true every time it is tested. it doesn't explain why something is true; it just states that it is true.