Question

mark sits on a swing that is 2.5 feet off the ground. swinging as hard as he can, the swing reaches a height of 6 feet. assuming mark holds a steady pace, the height of the swing could be represented by a cosine curve. if mark makes a full swing forward and backward in 3 seconds, which graph below could represent the height of the swing, in feet, for any time, t?

Explanation:

Step1: Identify minimum and maximum height

The swing starts at 2.5 feet (minimum height) and reaches 6 feet (maximum height).

Step2: Analyze period

The period of the cosine - curve is the time for a full swing forward and backward. Given it's 3 seconds.

Step3: Check graph characteristics

The graph should oscillate between 2.5 and 6 feet with a period of 3 seconds. The provided graph has a minimum value above 0, an appropriate maximum value around 6, and a period of 3 seconds as the pattern repeats every 3 seconds on the time - axis.

Answer:

The provided graph could represent the height of the swing.