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Wht does this mean?---- Average velocity = \frac{\int_{0}^{t}vdt}{\int_{0}^{t}dt}" src="https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latexltv_avggt_frac_int_0tvdt_int_0tdt.jpg" style="box-sizing: border-box; border: 0px; height: auto; vertical-align: middle; max-width: 93%; margin: 5px 10px 5px 5px !important;"> Average acceleration = \frac{\int_{0}^{t}adt}{\int_{0}^{t}dt}" src="https://files.askiitians.com/cdn1/cms-content/common/latex.codecogs.comgif.latexlta_avggt_frac_int_0tadt_int_0tdt.jpg" style="box-sizing: border-box; border: 0px; height: auto; vertical-align: middle; max-width: 93%; margin: 5px 10px 5px 5px !important;">

Wht does this mean?----
 

Average velocity<

< v_{avg}> = \frac{\int_{0}^{t}vdt}{\int_{0}^{t}dt}

Average acceleration

< a_{avg}> = \frac{\int_{0}^{t}adt}{\int_{0}^{t}dt}

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1 Answers

noogler
489 Points
8 years ago
av velocity or av acc =total velocity /acc in given interval of time to the total time interval
so mathematically to consider entire velocity in that interval we integrate velocity/acc and to consider entire time 
we integrate time

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