Fly_ball: Trajectory of a fly ball in baseball

In mosaicCalc: R-Language Based Calculus Operations for Teaching

Trajectory of a fly ball in baseball

Description

The trajectory of a fly ball as calculated by a sophisticated model involving drag, spin, and such. The physics and mathematics are described at http://baseball.physics.illinois.edu/TrajectoryAnalysis.pdf

Usage

Fly_ball

Format

A data frame with 552 rows.

• t - (seconds). Runs from 0 to 5.51 s

• y - horizontal position (feet)

• z - vertical position (feet)

Details

The ball has a mass of 5.125 ounces and a circumference of 9.125 inches The speed off the bat was 103 mph at a launch angle of 27.5 degrees from the horizontal. The ball was hit with backspin at 2500 rpm by a right-handed batter. Ambient temperature 70 deg F with a relative humidity of 50% and a barometric pressure of 29.92 inHg. The field was at an elevation of 15 feet.

The position of the ball was recorded every 0.01 seconds, for 5.5 seconds altogether. If you prefer to work with continuous functions of time, you can construct them. See the examples.

Source

http://baseball.physics.illinois.edu/TrajectoryCalculator-new-3D.xlsx

Examples

# Constructing continuous functions of time
ball_z <- mosaic::connector(z ~ t, data = Fly_ball)
ball_y <- mosaic::connector(y ~ t, data = Fly_ball)

mosaicCalc documentation built on Sept. 11, 2024, 9:10 p.m.