An object falling through a fluid is observed to have acceleration given by a = g – bv where g = gravitational acceleration and b is constant. After a long time of release, it is observed to fall with constant speed. What must be the value of constant speed?

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    Answered by

    Payal Gupta | Contributor-Level 10

    3 months ago

    This is a short answer type question as classified in NCERT Exemplar

    When speed becomes constant then acceleration will be zero

    a=dv/dt=0

    But here a=g-bv

    Clearly from above equation as speed increases acceleration will decrease . at a certain speed say vo, acceleration will be zero and speed will remain constant.

    Hence So g=bv

    so v= g/b

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