According to one model that takes into account air resistance, the acceleration a(t) in m/s² of a skydiver of mass m in free fall
satisfies a(t)=-9.8+ (r)², where v(t) is velocity, negative since the object is falling, and k is a constant. Suppose that
m = 70 kg and k = 13 kg/m.
What is the object's velocity when a(t) = -8.6?
(Use decimal notation. Give your answer to two decimal places.)
v(t) =
What is the object's velocity when a(t) = 0? This velocity is the object's terminal velocity.
(Use decimal notation. Give your answer to two decimal places.)
v(t) =
ma
m