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A football is rolling down a hill of unknown shape. The speed of the football at different times is noted as given below (Football always remains in contact with hill) : `{:("Time",,,"Instantaneous speed"),(0 sec,,," "0),(1 sec,,," "4m//s),(2 sec,,," "8 m//s),(3 sec,,," "16m//s),(4 sec,,," "24 m//s):}` The correct shape of the hill is depicted in :A. B. C. D. |
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Answer» Correct Answer - B `a=x^(2)+3x` `v(dv)/(dx) = x^(2)+3x` `vdv = (x^(2)+3x)dx` `(v^(2))/(2)=(x^(3))/(3)+(3x^(2))/(2)+c` `v^(2)=(2)/(3)x^(3)+3x^(2)+c` `v=sqrt((2)/(3)x^(3)+3x^(2)+c)` |
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