#2711: Optimal Bowling explain

[The header is surrounded on either side by small drawings of two bowling pins and a bowling ball.]

Data for Optimal Bowling

[Four line graphs are depicted. Each has a numbered one-word general description in a box at the top, an unlabeled y-axis, and a labeled x-axis. The relevant curve and other comments on each graph are in red.]

[The graph’s x-axis is labeled from -180° to 180°.]

Release Direction

[The red curve on the graph is just above the x-axis at all points except for a steep peak around 0°. The red curve is labeled:]

Relative Probability of Strike

Speed

[The graph’s x-axis is labeled from 10-1 to 108, with the last point on the x-axis labeled “Speed of Light”.]

Ball Speed (m/s)

[The red curve on the graph starts at the x-axis for 10-1, reaches its peak around 10, then declines and becomes a dashed line ending around three-quarters of the peak around 102. The remainder of the curve is replaced by two labels:]

Equipment Damage [from approximately 102 to approximately 105]

Widespread Destruction [from approximately 105 to the end of the axis]

Spin

[The graph’s x-axis is labeled from 0 to 1012.]

Spin (RPMs)

[The red curve on the graph starts about halfway from its peak for 0, reaches its peak somewhere between 0 and 1,000, then declines and becomes a dashed line around 1,000, soon after which the remainder of the curve is replaced by two labels:]

Ball Explodes [from approximately 10,000 to approximately 107.5]

Widespread Destruction [from approximately 107.5 to the end of the axis]

Weight

[The graph’s x-axis is labeled from 100 to 1040.]

Ball Mass (kg)

[The red curve on the graph starts just above the x-axis for 100, rises steeply and drops steeply ending just above the x-axis, then becoming a dashed line, all before reaching 1010. The remainder of the curve is replaced by two labels:]

Equipment Damage [from approximately 109 to approximately 1022]

Black Hole Created [from approximately 1025 to the end of the axis]