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A kayak is traveling across a pond at a speed
of 8 meters per second in the direction of S
67° W. Give the speed of the Kayak in
component form.​

Respuesta :

abidemiokin

Answer:

Vy = -3.13j m/s

Vx = -7.36i m/s

Explanation:

Check the attachment for the diagram.

Velocity of Kaya = 8m/s

Direction of travel = S67° W

In component form, the velocity of Kaya will be resolved along both x components and y component

If she moves along the south, she will be moving in the -ve y-direction.

Vy = Vcostheta

Vy = -8 cos67°j

Vy = -3.13j m/s

If she moves along the west, she will be moving in the -ve x-direction

Vx = Vsintheta

Vx = -8sin 67°i

Vx = -7.36i m/s

Cricetus

Kayak's speed will be "Vy = -3.13j m/s"  and "Vx = -7.36i m/s".

According to the question,

  • Velocity of Kayak = 8 m/s
  • Direction of travel = 67° W

When she moves along the south direction,

→ [tex]V_y = V \ Cos \theta[/tex]

By putting the values,

       [tex]= -8 \ Cos 67^{\circ} j[/tex]

       [tex]= -3.13 \ j \ m/s[/tex]

When she moves along the west direction,

→ [tex]V_x = V \ Sin \theta[/tex]

By putting the values,

       [tex]= -8 \ Sin 67^{\circ} i[/tex]

       [tex]= -7.36 \ i \ m/s[/tex]

Thus the response above is correct.

Learn more about speed here:

https://brainly.com/question/11476119

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