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Solve it

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Asked by hariom2083 19th July 2018, 6:42 PM
Answered by Expert
Answer:
I assume the particle moves in X-Y plane with constant acceleration α in y direction.
α is not mentioned in the posted question.
 
begin mathsize 12px style y space equals space beta space x squared space
fraction numerator d y over denominator d t end fraction equals beta cross times 2 x space fraction numerator d x over denominator d t end fraction
fraction numerator d squared y over denominator d t squared end fraction space equals space 2 beta open square brackets x fraction numerator d squared x over denominator d t squared end fraction space plus space fraction numerator d x over denominator d t end fraction close square brackets space equals space 2 beta open square brackets space fraction numerator d x over denominator d t end fraction close square brackets space space space because space x minus d i r e c t i o n space a c c e l e r a t i o n space i s space z e r o

fraction numerator d squared y over denominator d t squared end fraction space equals space alpha space equals space 2 beta open square brackets space fraction numerator d x over denominator d t end fraction close square brackets space semicolon space space space o r space fraction numerator d x over denominator d t end fraction space equals space fraction numerator alpha over denominator 2 beta end fraction space end style
Answered by Expert 19th July 2018, 9:01 PM
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