Question

for each scenario below, choose the graph that gives the best representation. (a) a person standing on the ground throws a ball onto a flat rooftop. the ball rolls around for several seconds. then the ball falls off the roof, into a puddle of mud.

Explanation:

Step1: Analyze ball - throwing phase

When the person throws the ball onto the rooftop, the height of the ball increases with time in a non - linear (parabolic) fashion initially as it is under the influence of gravity while moving upwards.

Step2: Analyze ball - rolling phase

Once the ball is on the flat rooftop, its height remains constant for several seconds as it rolls around.

Step3: Analyze ball - falling phase

When the ball falls off the roof, its height decreases with time in a non - linear (parabolic) fashion as it is in free - fall under gravity.

Answer:

The second graph (the one with an initial upward curve, a flat section, and then a downward curve) gives the best representation.