Question

vijay kicks a soccer ball, and it rolls down a small hill. once it gets to the bottom of the hill, the ball rolls more and more slowly until it comes to a stop. which graph could show the balls distance from vijay over time?

Explanation:

Step1: Analyze the ball's motion

The ball rolls down the hill (distance from Vijay increases at a relatively fast rate at first), then rolls on flat ground more and more slowly (the rate of increase of distance slows down until it stops increasing when the ball stops).

Step2: Evaluate the first graph

The first graph shows the distance from Vijay increasing, with the slope (rate of change of distance with respect to time) decreasing (which models the ball slowing down on the flat ground after the hill) and then becoming zero (ball stops).

Step3: Evaluate the second graph

The second graph shows the distance from Vijay decreasing over time, which does not match the ball moving away from Vijay (first down the hill then on flat ground until it stops).

Answer:

The first graph.