A student drops the same 10 kilogram bowling ball three speedster times she drops the ball from heights of 1 meter 2 meters and 3 meters which graph correctly shows the balls kinetic energy when dropped from each height

1 answer

Based on the information given, the correct graph would show the kinetic energy of the ball as a function of height dropped.

Let's analyze the situation:

- The kinetic energy of an object is given by the formula KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.
- The velocity of an object when it hits the ground from a certain height can be determined using the equation v = sqrt(2 * g * h), where g is the acceleration due to gravity (approximately 9.8 m/s^2) and h is the height.
- We are assuming no other forces are acting on the ball except for gravity.

Now, based on these formulas and the information given, we can plot the kinetic energy of the ball as shown in the graph.

X-axis: Height of drop (in meters)
Y-axis: Kinetic energy (in Joules)

As the height increases, the kinetic energy of the ball will also increase because it will gain more speed as it falls from a greater height. Therefore, the correct graph should show a positive relationship between height and kinetic energy.

So, the correct graph would show a line that starts at 0 Joules when the height is 0 meters and increases as the height increases. Since the kinetic energy is directly proportional to the height, the graph would be a straight line passing through the origin with a positive slope.

Please note that I can't provide a visual graph as I am a text-based AI model, but you can use the information above to draw the correct graph on a piece of paper or in a graphing software.