3945 Assume that a free-fall model applies. Solve these exercisesby applying Formulas

Chapter 5, Problem 42

(choose chapter or problem)

Assume that a free-fall model applies. Solve these exercises by applying Formulas (15) and (16). In these exercises take \(g=32 \mathrm{ft} / \mathrm{s}^{2}\) or \(g=9.8 \mathrm{ft} / \mathrm{s}^{2}\), depending on the units.

In 1939, Joe Sprinz of the San Francisco Seals Baseball Club attempted to catch a ball dropped from a blimp at a height of 800 ft (for the purpose of breaking the record for catching a ball dropped from the greatest height set the preceding year by members of the Cleveland Indians).

(a) How long does it take for a ball to drop 800 ft?

(b) What is the velocity of a ball in miles per hour after an 800 ft drop (88 ft/s = 60 mi/h)?

[Note: As a practical matter, it is unrealistic to ignore wind resistance in this problem; however, even with the slowing effect of wind resistance, the impact of the ball slammed Sprinz's glove hand into his face, fractured his upper jaw in 12 places, broke five teeth, and knocked him unconscious. He dropped the ball!]

Equation Transcription:

Text Transcription:

g = 32 ft/ s^2

g = 9.8 ft/s^2