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+34 votes
by (2.6k points)

To find the maximum velocity when given the maximum acceleration (a_max) and displacement (s), you can use the following equation:

v_max = sqrt(2 * a_max * s)

In this equation:

  • v_max represents the maximum velocity
  • a_max represents the maximum acceleration
  • s represents the displacement

Plugging in the given values, we have:

v_max = sqrt(2 * 1.34 * 806)

Calculating the expression inside the square root:

v_max = sqrt(2 * 1.34 * 806) v_max = sqrt(2165.12) v_max ≈ 46.54 m/s

Therefore, the maximum velocity, based on the given maximum acceleration of 1.34 and a displacement of 806, is approximately 46.54 m/s.

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