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Now consider four runners running around the track with the same constant tangential speed, with one runner in each lane of the track. A student in considering using the following equations to determine which runner has the greatest acceleration. Equation 1: V^2x=V^2xo+2Ax(X-X0) Equation 2: Ac=V^2/r Which equation should the student use, and why?answer choicesEquation 1, because the runners all have the same speed.Equation 1, because the different distances traveled by the runners in a complete lap around the track determine which runner has the greatest acceleration.Equation 2, because the acceleration term has already been isolated on the left-hand side of the equation.Equation 2, because the radius of the circular path traveled by a runner determines the acceleration of the runner.

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The equation the student should use is equation 1, because the runners all have the same speed.

first option is the correct answer.

What is centripetal acceleration?

The centripetal acceleration of an object is the radial or inward acceleration of an object moving a circular track.

There are several equations which can be used to determine linear acceleration of an object.

One of the equations is given in equation 2;

Vₓ² = V₀² + 2a ( x - x₀ )

where;

  • Vₓ is the final velocity of the object
  • V₀ is the initial velocity of the object
  • a is the acceleration of the object
  • x is the final displacement of the object
  • x₀ is the initial displacement of the object

when an object is moving at a constant velocity, the final velocity is equal to initial velocity, and the acceleration will become zero. So the equation two cannot be used since the runners are moving at a constant tangential speed.

The only equation that can be used to determine the maximum acceleration of the runner is the equation for centripetal acceleration.

a = v²/r

where;

  • v is the constant tangential velocity
  • r is the radius of the circular track

Learn more about centripetal acceleration here: https://brainly.com/question/79801

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