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Suppose that you sketched a graph of speed related to time for a brick being dropped from the top of a building. Then you sketched a graph for speed related to time for a ball that was rolled down a hill then came to rest. How would the graphs be the same? How would they be different?

User Barfatchen
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Answer:

The graphs of speed related to time for a brick being dropped from the top of a building and a ball that was rolled down a hill then came to rest would be the same in the following way:

- At the initial moment, before either object starts to move, the speed of both objects would be zero.

The graphs would differ in the following ways:

- The shape of the graph for the brick would be a straight line, with a constant speed of acceleration due to gravity until it hits the ground.

- The shape of the graph for the ball would be a curve that starts at zero speed, increases as the ball gains speed rolling downhill, and then decreases to rest as the ball comes to a stop.

- The time taken for each object to reach its final speed would be different, since the brick has a shorter distance to fall than the ball has to roll.

User Ericlee
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