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CBSE Class 11-science Answered

the position of an object moving aong X-axis is given by X=a+bt2 where a=8.5m, b=2.5m/s2 and t  is measured in seconds. what is its velocity at t=0s and t=2.0s. what is the average velocity b/w t=2.0s and t=4.0s?
Asked by vaagai2353 | 04 Jul, 2018, 12:43: PM
answered-by-expert Expert Answer
begin mathsize 12px style X left parenthesis t right parenthesis space equals space 8.5 space plus space 2.5 cross times t squared
v e l o c i t y space v left parenthesis t right parenthesis space equals space fraction numerator d x over denominator d t end fraction space equals space 5 space t
v e l o c i t y space a t space t space equals space 0 comma space v left parenthesis 0 right parenthesis space equals space 0 space m divided by s space semicolon space v e l o c i t y space a t space t space equals 2 comma space v left parenthesis 2 right parenthesis space equals space 10 space m divided by s
d i s tan c e space t r a v e l l e d space f r o m space t equals 2 space space s space t o space t equals 4 space s comma space X left parenthesis 4 right parenthesis minus X left parenthesis 2 right parenthesis space equals space 2.5 open parentheses 4 squared minus 2 squared close parentheses space equals space 30 space m

a v e r a g e space v e l o c i t y space equals space fraction numerator d i s tan c e over denominator t i m e end fraction space equals space 30 over 2 space equals space 15 space m divided by s
end style
Answered by Thiyagarajan K | 04 Jul, 2018, 02:22: PM
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