1. Tardigrade
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  4. 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. The value of constant speed is

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Q. 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. The value of constant speed is

Motion in a Straight Line

Solution:

Here, $a= g - bv$
When an object falls with constant speed $v_c$, its acceleration becomes zero.
$\therefore g-bv_{c}=0$ or $v_{c}=\frac{g}{b}$