Physics Question ( Easy )?

I think that this is a bit of a trick question. You do well to question it. I hope that your teacher has as much intuition as you do. The question requires assumptions about conditions that are not stated. The geometry of the batter, umpire, home plate and the bat/ball at the time of impact are not given, but would be needed to solve the problem accurately.

Besides the lack of geometry (angles, etc.) the distance from the batter to the umpire and from the batter to home plate are not given. so the time from the bat hitting the ball until the umpire hears it is undetermined. It is very short time, but it is still finite.

The time for the sound of the ball hitting the bat until the fan hears it is 150m/343m/s. This equals 0.4373177842565598 seconds.

Given the precision of the numbers in the problem, I show too many decimal points to make the point about the small differences that the unstated conditions would make.

If the umpire were standing 1 m behind the bat/ball, and the fan were directly behind him, the time for sound to travel from the bat to the umpire's ear would be 0.0029154518950437sec.

My answer to the question would be: To the precision of the numbers (integers) given in the question, there is no difference in the arrival time of the sound at the fan's and umpire's ear. The fan hears the sound approximately 0.4 seconds after the ball is hit.

If you state the question accurately, I think that your textbook must be very bad. Richard Feynman, a Nobel prize winner in physics, was once asked to evaluate thigh school text books for the California school system. He found most of them to be terrible. As he said,

"The definitions weren't accurate. Everything was a little bit ambiguous -- they weren't smart enough to understand what was meant by "rigor." They were faking it. They were teaching something they didn't understand, and which was, in fact, useless, at that time, for the child."

Good luck to you. Unless your teacher is a good person, (s)he isn't going to like to hear this. In your evaluation of the answers, would you please tell us what textbook (name and publisher) that your school is using.

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