Kim is in a boat traveling 3.8 m/s straight across a river 240 m wide. The river is flowing at 1.6 m/s. What is Kim's resultant velocity?

V^2 = X^2 + Y^2

V^2 = 3.8^2 + 1,6^2 = 17
V = 4.12 m/s

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To find Kim's resultant velocity, we need to consider the horizontal and vertical components of her velocity.

Since Kim is traveling straight across the river, her horizontal velocity is unaffected by the river's flow. Therefore, her horizontal velocity remains constant at 3.8 m/s.

The vertical component of Kim's velocity is affected by the river flow. We can use the Pythagorean theorem to find the magnitude of her resultant velocity:

Resultant velocity = √(horizontal velocity^2 + vertical velocity^2)

Horizontal velocity = 3.8 m/s
Vertical velocity = 1.6 m/s

Resultant velocity = √(3.8^2 + 1.6^2)
Resultant velocity = √(14.44 + 2.56)
Resultant velocity = √17

Therefore, Kim's resultant velocity is approximately 4.12 m/s.

To determine Kim's resultant velocity, we need to consider the boat's velocity and the velocity of the river. Since these velocities are at right angles to each other (the boat is crossing the river perpendicularly), we can use the Pythagorean theorem to find the resultant velocity.

First, let's break down the boat's velocity into its horizontal and vertical components.

The boat's horizontal velocity is the velocity at which it is traveling across the river, which is given as 3.8 m/s.

The boat's vertical velocity is zero since it is not moving up or down the river.

Next, let's consider the river's velocity. The river is flowing at 1.6 m/s.

Since the boat is crossing the river perpendicularly, the river's velocity only affects the horizontal component of the boat's velocity.

To find the resultant velocity, we can use the Pythagorean theorem:

Resultant velocity = √(horizontal velocity^2 + vertical velocity^2)

horizontal velocity = 3.8 m/s
vertical velocity = 1.6 m/s

Plugging these values into the formula:

Resultant velocity = √(3.8^2 + 1.6^2)
Resultant velocity = √(14.44 + 2.56)
Resultant velocity = √17

Therefore, Kim's resultant velocity is approximately 4.12 m/s.