what is the greatest acceleration can be generated by a runner if coefficient of friction between shoes and road is 0.95

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To determine the greatest acceleration that can be generated by a runner, we need to consider the coefficient of friction between the runner's shoes and the road surface. The coefficient of friction quantifies the frictional force between two surfaces in contact. In this case, it represents the grip between the runner's shoes and the road.

The maximum acceleration can be calculated using the equation:

acceleration = coefficient of friction * gravitational acceleration

The coefficient of friction is given as 0.95. The gravitational acceleration is approximately 9.8 m/s^2.

Thus, the maximum acceleration the runner can generate is:

acceleration = 0.95 * 9.8 m/s^2
acceleration ≈ 9.31 m/s^2

Therefore, the greatest acceleration that can be generated by the runner is approximately 9.31 m/s^2.