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When 2 objects w/ a difference in time will become equal

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A television is dropped from the top of a cliff, and 1 second later a second television is thrown downward with a velocity of 20 m/s. How far below the cliff will the second television overtake the first?

Could you please show me the detailed work (with the equations) of how to achieve the answer. Our teacher gave us the answer but no work!

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Solution Summary

A question in classical mechanics is answered. When two objects with a difference in time will become equal is determined.

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Note that the distance between two TVs after 1 second of the first TV dropped is equal to
d=(1/2)g*t^2=(1/2)*g*1^2=4.9 (m)

Assume that after T seconds the second TV catches the first TV. We have

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Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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