Final answer:
The question assesses the ability to calculate the horizontal distance traveled during a free fall by utilizing the principles of projectile motion. To solve it, one first calculates the time it takes to fall a certain vertical distance and then multiplies this time by the initial horizontal velocity to determine the horizontal distance.
Step-by-step explanation:
The question concerns calculating the horizontal distance Ms. Thomas will cover when she runs off a plane that is 132m high with an initial horizontal velocity of 12 m/s. To find this distance, we should use the principles of projectile motion to calculate the time it takes for Ms. Thomas to fall 132m in the vertical direction and then use this time to calculate how far she will travel horizontally.
First, we can find the time (t) it takes to fall using the formula: t = √(2h/g), where h is the height (132m) and g is the acceleration due to gravity (9.81 m/s²). Plugging in the numbers, t = √(2*132/9.81) which gives us approximately 5.18 seconds.
Now we use this time to calculate the horizontal distance using the formula: distance = velocity * time, thus distance = 12 m/s * 5.18 s, which results in a distance of approximately 62.16 meters. However, since this number isn't an option provided in the question, there may have been an error in calculation or interpretation. For a correct calculation, please refer to the exact physics principles and make sure all units and values correspond correctly to the provided options.