Question

scarlett is teaching her little sister, cara, how to catch a football. scarlett holds the football in her hand and throws it high and long in the air. cara has to run back several steps, but she catches it successfully and holds on to it. which graph could show the height of the football over time?

Explanation:

Step1: Analyze football - throw motion

The football is thrown high and long. Its height first increases as it moves upwards, then reaches a maximum height, and then decreases as it falls back down. The motion is smooth and follows a parabolic - like path due to gravity.

Step2: Examine each graph

The first graph has a non - smooth increase (a sharp corner), which is not realistic for the motion of a football under gravity. The third graph starts from a non - zero height on the y - axis without any initial drop, which is not consistent with the description of the throw starting from Scarlett's hand. The fourth graph has a flat top, which is not how a football in free - fall behaves. The second graph shows a smooth increase in height, a rounded maximum, and a smooth decrease in height, which is consistent with the motion of a football thrown into the air and caught.

Answer:

The second graph (the one on the top - right)