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One of the fastest pitches ever thrown in Major League Baseball was by Aroldis Chapman and had a velocity of 105.1 miles/hour. How many seconds did it take this pitch to travel the 60 feet and 6 inches from the pitcher's mound to home plate? (1 mile = 5280 feet)

One of the fastest pitches ever thrown in Major League Baseball was by Aroldis Chapman and had a velocity of 105.1 miles/hour. How many seconds did it take this pitch to travel the 60 feet and 6 inches from the pitcher's mound to home plate? (1 mile = 5280 feet)

Introductory Chemistry: A Foundation
Introductory Chemistry: A Foundation
9th Edition
ISBN:9781337399425
Author:Steven S. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Donald J. DeCoste
Chapter1: Chemistry: An Introduction
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### Fastest Pitch in Major League Baseball #### Question 28 of 40 One of the fastest pitches ever thrown in Major League Baseball was by Aroldis Chapman and had a velocity of 105.1 miles per hour. How many seconds did it take this pitch to travel the 60 feet and 6 inches from the pitcher's mound to home plate? *(1 mile = 5280 feet)* **Instructions to Solve:** 1. **Convert the Distance from Feet to Miles:** - Total distance in feet: 60 feet 6 inches - Convert 6 inches to feet: 6 inches = \( \frac{6}{12} \) feet = 0.5 feet - Total distance in feet: 60 + 0.5 = 60.5 feet - Convert feet to miles: 60.5 feet \(\div\) 5280 feet/mile = 0.0114583 miles 2. **Determine the Time Required:** - Velocity of the pitch: 105.1 miles per hour - Time = Distance / Velocity - Distance: 0.0114583 miles - Velocity: 105.1 miles/hour - Time in hours: 0.0114583 \(\div\) 105.1 = 0.00010903 hours 3. **Convert Time to Seconds:** - 1 hour = 3600 seconds - Time in seconds: 0.00010903 hours \(\times\) 3600 seconds/hour = 0.3925 seconds So, the pitch took approximately 0.39 seconds to reach home plate from the pitcher's mound. **Calculator Interface:** - The image includes a keypad with numbers 1-9, and additional keys for: - Deleting (×) - Clearing (C) - '+' or '-' - Decimal point (.) - Zero (0) - Scientific notation multiplier (x 10^) The section above the keypad includes an input box with 's,' indicating where the user enters their solution for the time in seconds.
Transcribed Image Text:### Fastest Pitch in Major League Baseball #### Question 28 of 40 One of the fastest pitches ever thrown in Major League Baseball was by Aroldis Chapman and had a velocity of 105.1 miles per hour. How many seconds did it take this pitch to travel the 60 feet and 6 inches from the pitcher's mound to home plate? *(1 mile = 5280 feet)* **Instructions to Solve:** 1. **Convert the Distance from Feet to Miles:** - Total distance in feet: 60 feet 6 inches - Convert 6 inches to feet: 6 inches = \( \frac{6}{12} \) feet = 0.5 feet - Total distance in feet: 60 + 0.5 = 60.5 feet - Convert feet to miles: 60.5 feet \(\div\) 5280 feet/mile = 0.0114583 miles 2. **Determine the Time Required:** - Velocity of the pitch: 105.1 miles per hour - Time = Distance / Velocity - Distance: 0.0114583 miles - Velocity: 105.1 miles/hour - Time in hours: 0.0114583 \(\div\) 105.1 = 0.00010903 hours 3. **Convert Time to Seconds:** - 1 hour = 3600 seconds - Time in seconds: 0.00010903 hours \(\times\) 3600 seconds/hour = 0.3925 seconds So, the pitch took approximately 0.39 seconds to reach home plate from the pitcher's mound. **Calculator Interface:** - The image includes a keypad with numbers 1-9, and additional keys for: - Deleting (×) - Clearing (C) - '+' or '-' - Decimal point (.) - Zero (0) - Scientific notation multiplier (x 10^) The section above the keypad includes an input box with 's,' indicating where the user enters their solution for the time in seconds.
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