Question #47918

A baseball fan sitting in the cheap seats is 136 m away from homeplate. How much time elapses between the instant that the fan sees a batter hit the ball and the moment the fan hears the crack of the bat?
1

Expert's answer

2014-10-23T01:33:28-0400

Answer on Question #47918, Physics, Mechanics | Kinematics | Dynamics

Question:

A baseball fan sitting in the cheap seats is 136 m away from homeplate. How much time elapses between the instant that the fan sees a batter hit the ball and the moment the fan hears the crack of the bat?

Answer:

Speed of sound in air equals c=340m/sc = 340 \, \text{m/s}. Therefore time elapses between the instant that the fan sees a batter hit the ball and the moment the fan hears the crack of the bat:


t=dct = \frac{d}{c}


where dd is distance to the homeplate.


t=136m340ms=0.4st = \frac{136 \, \text{m}}{340 \, \frac{\text{m}}{\text{s}}} = 0.4 \, \text{s}


Answer: 0.4 s

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