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)
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Chapter3: Matter
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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.
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