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CBSE Class 11-science Answered

The X and Y coordinates of  the  particle  at  any  time are X=5t-2tsquare  and Y=10t  respectively, where   X     and  Y  are  in  metres  and  t  in  seconds.  What  is  the  acceleration  of  the particle at   t=2second ?   
Asked by PARDEEP | 31 Mar, 2018, 03:56: PM
answered-by-expert Expert Answer
begin mathsize 12px style X space equals left parenthesis space 5 t minus 2 t squared space right parenthesis space m semicolon space v e l o c i t y space fraction numerator d X over denominator d t end fraction equals space left parenthesis space 5 minus 4 space t right parenthesis space m divided by s space semicolon space a c c e l e r a t i o n space fraction numerator d squared X over denominator d t squared end fraction space equals space minus 4 space m divided by s squared semicolon s i m i l a r l y space Y space equals space left parenthesis 10 space t right parenthesis space m space semicolon space fraction numerator d Y over denominator d t space end fraction space equals space 10 space space m divided by s space space semicolon space space fraction numerator d squared Y over denominator d t squared end fraction equals space 0 space space m divided by s squared space semicolon space end style
Acceleration in Y-direction is zero and acceleration in X-direction is constant; Hence acceleration at time t = 2 s is -4 m/s2
Answered by Thiyagarajan K | 31 Mar, 2018, 04:42: PM
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