Physics, 18.01.2021 19:20, Amyra2003

2.Find the magnitude and direction of the resultant velocity vector for the following perpendicular velocities: a. a fish swimming at 3.0 m/s relative to the water across a river that moves at 5.0 m/s b. a surfer traveling at 1.0 m/s relative to the water across a wave that is traveling at 6.0 m/s

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answered: nolangriffin

a. The magnitude of the resultant velocity vector of the fish is approximately 5.83 m/s

The direction of the resultant velocity vector of the fish is approximately 30.93° relative to the direction of the river

b. The magnitude of the resultant velocity vector of the surfer is approximately 6.083 m/s

The direction of the resultant velocity vector of the surfer is approximately 9.46° relative to the direction of the wave

Explanation:

a. The given parameters of the fish and the river are;

The speed with which the fish is swimming across the river, v₁ = 3.0 m/s

The velocity with which the river is flowing, v₂ = 5.0 m/s

Therefore, in vector form, we have;

v₁ = 3.0·j

v₂ = 5.0·i

The resultant velocity, R = v₁ + v₂ = 5.0·i + 3.0·j

∴ R = 5.0·i + 3.0·j

The magnitude of the resultant velocity vector, $\left | R \right |$ = √(5.0² + 3.0²) =√34 ≈ 5.83

The magnitude of the resultant velocity vector, of the fish, $\left | R \right |$ ≈ 5.83 m/s

The direction of the resultant velocity of the fish, θ = arctan(3.0/5.0) ≈ 30.93°

Therefore, The direction of the resultant velocity vector of the fish, θ ≈ 30.93° relative to the direction of the river

b. The given parameters of the surfer and the wave are;

The speed with which the surfer is travelling, v₁ = 1.0 m/s

The speed of the wave travelling across, v₂ = 6.0 m/s

Therefore, in vector form, we have;

v₁ = 1.0·j

v₂ = 6.0·i

The resultant velocity, R = v₁ + v₂ = 1.0·i + 6.0·j

∴ R = 1.0·i + 6.0·j

The magnitude of the resultant velocity of the surfer, $\left | R \right |$ = √(1.0² + 6.0²) =√37 ≈ 6.083

The magnitude of the resultant velocity vector of the surfer, $\left | R \right |$ ≈ 6.083 m/s

The direction of the resultant velocity of the surfer, θ = arctan(1.0/6.0) ≈ 9.46°

Therefore, The direction of the resultant velocity vector of the surfer, θ ≈ 9.46° relative to the direction of the wave

answered: Guest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

answered: Guest

the design of a ski jumping suit involves a trade-off between giving the skiers lift to get higher jumps and ensuring the skier does not face a lot of drag before the jump itself. an expansive suit may to lift the skier higher, but at the same time, it will also increase the air resistance. higher air resistance as the skier goes down the slope limits the speed of the jump. a big suit also increases the risk of losing balance or control, especially if there's a strong gust of wind. while technologically enhanced suits a lot, clothing is not the only factor in a ski jumper’s success. gathering speed while skiing down the slope, ensuring good speed on the ramp, and maintaining good body posture and form in the air all contribute to a ski jumper's success.

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2.Find the magnitude and direction of the resultant velocity vector for the following perpendicular...