Find the time taken by the truck to move 1 metre

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SUMMARY

The discussion centers on the calculation of the time taken by a truck to move 1 meter, highlighting an error in a textbook. The correct formula derived is t = √(1/0.04) = 5 seconds, based on kinematic equations. The user emphasizes that when initial velocity (u) is zero, the appropriate equation is t = √(2s/a), contradicting the textbook's suggestion of t = √(s/a). This clarification is crucial for accurate problem-solving in kinematics.

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  • Basic algebra for solving square roots
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chwala
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Homework Statement
See attached.
Relevant Equations
kinematics
Unless i am missing something; there is an error with the textbook

1707127143855.png


It ought to be ,

## t= \sqrt {\dfrac{1}{0.04}}= \sqrt 25 = 5## seconds.
 
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Why ?
 
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chwala said:
Homework Statement: See attached.
Relevant Equations: kinematics

Unless i am missing something; there is an error with the textbook

View attachment 339804

It ought to be ,

## t= \sqrt {\dfrac{1}{0.04}}= \sqrt 25 = 5## seconds.


If u = 0 then s = \tfrac12 at^2 \quad \Rightarrow \quad t = \sqrt{\frac{2s}{a}} as the textbook has, not t = \sqrt{s/a} as you are suggesting.
 
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pasmith said:
If u = 0 then s = \tfrac12 at^2 \quad \Rightarrow \quad t = \sqrt{\frac{2s}{a}} as the textbook has, not t = \sqrt{s/a} as you are suggesting.
Let me take a break! Cheers @pasmith
 
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