A fan at a baseball game is 100.0m from the home plate. If the speed of sound is 350 m/s , how long after the batter actually hits the ball does the fan hear the crack? Assume that there is no wind.
PS
about 5 seconds per mile in air is the rule we use navigating at sea. (time between seeing light and hearing horn if they are actuated together.)
distance = speed * time
time = 100/350
To find the time it takes for the sound of the crack to reach the fan, we can use the formula:
time = distance / speed
In this case, the distance is the distance between the fan and the home plate, which is 100.0m. The speed is the speed of sound, which is 350 m/s.
Plugging the values into the formula, we get:
time = 100.0m / 350 m/s
time ≈ 0.286s
Therefore, the fan hears the crack approximately 0.286 seconds after the batter actually hits the ball.
To determine how long it takes for the fan to hear the sound of the bat hitting the ball, we can calculate the time it takes for the sound to reach the fan from the home plate.
The distance between the fan and the home plate is 100.0m, and the speed of sound is 350 m/s. We can use the formula:
time = distance / speed
Plugging in the values, we have:
time = 100.0m / 350 m/s
time = 0.2857 seconds
Therefore, the fan will hear the crack of the bat approximately 0.2857 seconds after the batter actually hits the ball.