show derevation of equatin of motion by calcus method
Answers
Answer:
rate of change of velocity = acceleration.
Let v be the velocity and a is acceleration. Then mathematically begin mathsize 12px style fraction numerator d v over denominator d t end fraction space equals space a end style
begin mathsize 12px style d v space equals space a space d t integral subscript u superscript v d v space equals space integral subscript 0 superscript t a space d t v space minus space u space equals space a space t space semicolon space w h e r e space u space i s space i n i t i a l space v e l o c i t y space a n d space v space i s space f i n a l space v e l o c i t y h e n c e space v space equals space u plus a space t end style
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(2) rate of displacement = velocity
mathematically begin mathsize 12px style fraction numerator d s over denominator d t end fraction space equals space v semicolon end style