To find the maximum velocity given a maximum acceleration and displacement, you can use the following equation:
v² = u² + 2as
where: v is the final velocity (maximum velocity), u is the initial velocity (assumed to be 0 m/s since it is not given), a is the acceleration (1.34 m/s²), and s is the displacement (806 m).
Plugging in the values:
v² = 0² + 2(1.34 m/s²)(806 m) v² = 0 + 2(1.34 m/s²)(806 m) v² = 2(1.34 m/s²)(806 m) v² = 2.69 m²/s² * 806 m v² = 2167.14 m²/s² * m v² ≈ 2167.14 m³/s²
To find the maximum velocity, we take the square root of both sides:
v ≈ √(2167.14 m³/s²) v ≈ 46.56 m/s
Therefore, the maximum velocity, given a maximum acceleration of 1.34 m/s² and a displacement of 806 m, is approximately 46.56 m/s.