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a pool ball is rolling along a table3 with a constant velocity. the components of its velocity vector are Vx=0.5 m/s and Vy=0.8 m/s. Calculate the distance it travels in 0.4 s

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asuwafohjames

The distance traveled by the pool ball is 0.376 m.

To calculate the distance traveled by the ball, we need to first find the resultant velocity of the ball.

What is resultant velocity?

This is the single velocity obtained when two or more velocities are combined.

To calculate the resultant velocity, we use the formula below.

Formula:

  • Vr = √(Vx²+Vy²)............. Equation 1

Where:

  • Vr = Resultant velocity.

From the question,

Given:

  • Vx = 0.5 m/s
  • Vy = 0.8 m/s

Substitute these values into equation 1

  • Vr = √(0.5²+0.8²)
  • Vr = √(0.25+0.64)
  • Vr = √(0.89)
  • Vr = 0.94 m/s

Finally, to calculate the total distance, we use the formula below.

Formula:

  • d = (Vr)t.......... Equation 2

Where:

  • d = Distance traveled by the ball
  • t = time

From the question,

Given:

  • Vr = 0.94 m/s
  • t = 0.4 s

Substitute into equation 2

  • d = 0.4×0.94
  • d = 0.376 m

Hence, the distance traveled by the pool ball is 0.376 m.

Learn more about resultant velocity here: https://brainly.com/question/24767211

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