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.