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Please, I need help with this.
A quarterback takes the ball from the line of scrimmage, runs backward for 10.0 yards, and then runs sideways parallel to the line of scrimmage for 15.0 yards. At this point, he throws a 50.0-yard forward pass straight down the field. What is the magnitude of the football’s resultant displacement?

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jonahpm2

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onyebuchinnaji

The magnitude of the football's resultant displacement is 42.72 yards.

The given parameters;

  • initial displacement backwards = 10 yards
  • final displacement forward = 50 yards
  • vertical displacement = 15 yards

The resultant horizontal displacement, x = 50 yards - 10 yards = 40 yards

The resultant vertical displacement, y = 15 yards

The magnitude of the football's resultant displacement is calculated by applying Pythagoras theorem as shown below;

R² = y² + x²

R² = 40² + 15²

R² = 1,825

R = √1,825

R = 42.72 yards

Thus, the magnitude of the football's resultant displacement is 42.72 yards.

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