Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

at practice, antonio threw a football, but it accidentally went a littl…

Question

at practice, antonio threw a football, but it accidentally went a little too far and landed on the roof of the fieldhouse. which graph could show the footballs height above ground over time?

Explanation:

Step1: Understand football's motion

The football is thrown upwards, reaches a peak, then falls and lands on the roof. Its height - time graph should first increase, then reach a maximum and start decreasing until it levels off when it lands on the roof.

Step2: Analyze each graph

  • In the first graph, the height first increases, reaches a maximum, then decreases and levels off when it lands on the roof, which is consistent with the football's motion.
  • The second graph has a flat - top section before the decrease which is not typical for a thrown object's motion without external forces like wind holding it at a constant height for a while.
  • The third graph shows the object going down to the ground level which is not the case as it lands on the roof.
  • The fourth graph has an initial upward slope that is too steep and doesn't follow the typical parabolic - like motion of a thrown object under gravity.

Answer:

The first graph (top - left graph)