Free Fall. In Section 2.1, we discussed a model for an object falling toward Earth. Assuming that only air resistance and gravity are acting on the object, we found that the velocity y must satisfy the equation
where m is the mass, g is the acceleration due to gravity, and b > 0 is a constant (see Figure 2.1).
v(0) = 10 m/sec, solve for v(t). What is the limiting (i.e., terminal) velocity of the object?
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