A (2, 4)

Question

B (4, 4)
C (6, 3)
Which of these objects would reach 100 feet in the least amount of time

Answer 1

To determine which object would reach 100 feet in the least amount of time, we need to calculate the speed of each object.

The speed of an object can be calculated using the formula:

speed = distance / time

Let's assume the distance covered by each object is 100 feet. We can find the time taken by each object by rearranging the formula:

time = distance / speed

For object A (2, 4), we need to calculate the speed using the coordinates. We can use the horizontal distance as the speed and calculate the time taken to cover 100 feet:

Time taken by object A = 100 feet / (4 - 2) = 100 feet / 2 = 50 seconds

For object B (4, 4), the horizontal distance is 0 since the x-coordinates are the same. However, the vertical distance is 100 feet:

Time taken by object B = 100 feet / (4 - 4) = undefined (division by zero)

For object C (6, 3), the horizontal distance is 2 and the vertical distance is 100 feet:

Time taken by object C = 100 feet / (3 - 4) = -100 feet (negative value, indicating the object is moving downward)

Therefore, object A would reach 100 feet in the least amount of time, taking 50 seconds.