An object falling under the pull of gravity experiences a frictional force of air resistance. The magnitude of this force is approximately proportional to the speed of the object, f $=$ bv$.$ Assume b $=16$ kg$/$s and m $=51$ kg$.$

$($a$)$ What is the terminal speed that the object reaches while falling?

m$/$s

$($b$)$ Does your answer to part $($a$)$ depend on the initial speed of the object? Explain.