Rationalize the denominator.

A. 11 - 2
B. 2 - 11
C. -11 - 2
D. 11 + 2

Answer: B

Mathematics

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Solve the problem.The differential equation for a falling body near the earth's surface with air resistance proportional to the velocity v is dv/dt = -g - av, where g = 32 feet per second per second is the acceleration due to gravity and a > 0 is the drag coefficient. This equation can be solved to obtain v(t) = (v0 - v?)e-at + v?, where v0 = v(0) and v? = -g/a = v(t), the terminal velocity.This equation, in turn, can be solved to obtain y(t) = y0 + tv? + (1/a)(v0 - v?)(1 - e-at) where y(t) denotes the altitude at time t. Suppose that a ball is thrown straight up from ground level with an initial velocity v0 and drag coefficient a. Write an equation in

terms of v0, g, and a for T, the time when the ball hits the ground.

A. -gT +  ln   = 0
B. -gT +   (1 - e^-aT) = 0
C. -aT +   (1 - e^-aT) = 0
D. -gT +   (1 - e^-aT) = 0