Final answer:
The lasso's acceleration is calculated using the centripetal acceleration formula a = v^2 / r, resulting in 4 m/s² which corresponds to answer option B.
Step-by-step explanation:
To calculate the lasso's acceleration, we need to use the formula for centripetal acceleration, which is a = v^2 / r, where v is the speed of the object and r is the radius of the circular path. In this case, the cowboy is swinging the lasso at a speed of 2 m/s around a circle with a radius of 1 m. Plugging these values into the formula, we get a = (2 m/s)^2 / 1 m = 4 m/s². Therefore, the correct answer is B) 4 m/s².