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Question
- describe how you would measure the speed of a baseball in feet per second.
To measure the speed of a baseball in feet per second, we can use the formula for speed, \( v=\frac{d}{t} \), where \( v \) is speed, \( d \) is distance, and \( t \) is time. First, we need to determine a known distance \( d \) (in feet) that the baseball travels, for example, the distance from the pitcher's mound to home plate (which is 60.5 feet in a standard baseball field). Then, we use a timer (like a stopwatch or a more precise timing device) to measure the time \( t \) (in seconds) it takes for the baseball to travel that distance. Once we have the distance and the time, we plug these values into the formula \( v = \frac{d}{t} \) to calculate the speed in feet per second. Another method could involve using a radar gun, which directly measures the speed of the baseball by detecting the Doppler shift of the radio waves it emits and receives as the baseball moves. The radar gun gives a direct reading of the speed in feet per second (or can be converted to feet per second if it initially displays in other units like miles per hour).
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To measure the speed of a baseball in feet per second: 1. Using the speed formula (\(v = \frac{d}{t}\)): Identify a known distance \(d\) (e.g., 60.5 feet from pitcher’s mound to home plate) the baseball travels. Use a timer to measure the time \(t\) (in seconds) it takes to cover \(d\). Calculate speed as \(v=\frac{d}{t}\). 2. Using a radar gun: A radar gun directly measures the baseball’s speed (can be set to display in feet per second) by detecting the Doppler shift of emitted radio waves as the ball moves.