Significant digits including only one zero

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Homework Help Overview

The problem involves calculating deceleration from 60 km/h to 0 km/h over a time interval of 1.2 seconds, with a focus on the significance of digits, particularly regarding the representation of zero in the context of significant figures.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the significance of the zero in 0 km/h and its impact on the number of significant digits in the final result. There is also a question about how to represent the initial speed of a toy that is not moving, considering significant digits.

Discussion Status

Some participants have offered guidance on the treatment of significant digits, suggesting that the zero can be ignored in certain contexts. However, questions remain about the implications of precision in different scenarios, such as the transition from 60 km/h to 1 km/h.

Contextual Notes

Participants are navigating the nuances of significant digits in the context of homework rules and the precision of measurements. There is an acknowledgment of uncertainty regarding the initial state of the toy's movement.

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Homework Statement


The problem asks us to find deceleration from 60km/h to 0km/h in 1,2 seconds.

Homework Equations


The speed formulas

The Attempt at a Solution


I know how to apply the formula. However, in the problem, it is written 0km/h. How many significant digits is that? How many significant digits should i have in this problem for the final result?
 
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You should have 2 in your answer as acceleration is the change in velocity (i.e. 60km/h in this case). The 0km/h can be ignored in the case of significant digits :smile:
 
Thank you

Thanks that's what I wanted to know. The zero is confusing. Also, for my lab report, I have to jot down the speed of a small toy according to the time passed. At the beginning, the toy is not moving. Should I put 0m/s or the number of significant digits put for the other data, since we can't really be sure the toy is not moving very very slightly?
Thanks again.
 
If it's not moving initially, 0 m/s will be fine.
 
"Not moving" implies zero km/h with extreme precision. That is different from 0km/h. What would your answer be if the original question was looking for 60km/h to 1km/h?
 

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