To calculate the time it takes for a 100 mph pitch to travel from the pitcher to the hitter, you first need to know the distance between the pitcher’s mound and home plate, which is 60 feet 6 inches, or 60.5 feet.
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Convert mph to feet per second (fps):
- 100 mph = 100 miles per hour
- Since there are 5280 feet in a mile and 3600 seconds in an hour: \[ 100 \text{ mph} = \frac{100 \times 5280}{3600} \text{ fps} \approx 146.67 \text{ fps} \]
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Calculate the time using the formula time = distance / speed:
- Distance = 60.5 feet
- Speed = 146.67 fps \[ \text{Time} = \frac{60.5 \text{ feet}}{146.67 \text{ fps}} \approx 0.412 \text{ seconds} \]
So, it takes approximately 0.41 seconds for a 100 mph pitch to travel from the pitcher to the hitter.