To determine which object would reach 100 feet in the least amount of time, we need to calculate the speed of each object and compare them.
The speed of an object is determined by dividing the distance traveled by the time taken.
Object A travels a horizontal distance of 3 feet and a vertical distance of 6 feet. Using the Pythagorean theorem, we can calculate the total distance traveled:
distance = sqrt((3^2) + (6^2)) = sqrt(9 + 36) = sqrt(45) ≈ 6.71 feet
Object B travels a horizontal distance of 6 feet and a vertical distance of 6 feet. Using the Pythagorean theorem, we can calculate the total distance traveled:
distance = sqrt((6^2) + (6^2)) = sqrt(36 + 36) = sqrt(72) ≈ 8.49 feet
Object C travels a horizontal distance of 6 feet and a vertical distance of 3 feet. Using the Pythagorean theorem, we can calculate the total distance traveled:
distance = sqrt((6^2) + (3^2)) = sqrt(36 + 9) = sqrt(45) ≈ 6.71 feet
Now, we can calculate the speed of each object by dividing the total distance by the time taken. However, we don't have the time information in the given options, so we cannot determine which object would reach 100 feet in the least amount of time.