A skydiver is equipped with a stopwatch and an altimeter. Assume that the drag (air resistance]I force is proportional to the square of his velocity v (t) at time t, where k is the constant of proportionality. Let us also assume that the positive direction is downward. Now, answer the following questions. 1. Write an equation of motion for the skydiver. 2. Suppose m = 190 lbs., 9 = 32 13:152.}; = 0.083 les and the skydiver leaves the plane from rest. Find his all\" . There 2 _ 2 a. u are more than one formulas for thlS particular antiderivative. YOU are WEICOF'I'IE lI} USE the fOl'H'IUlE do __1 (5+1; fag13 _ 2a luluHi 3. Find the distance a (3). measured from the plane, the skydiver has traveled during freefall in time t. Hint: t) (t) at any time t. Hint: At some point. you will need to handle an antiderivative of the form I _ (is - - . . . E\" _ 1 _ Eu 1 *v E" At some point, you Wlll need to handle an antiderivative of the form J" 9\" + 1 du. Notice that e\" + 1 - 26\" can be rewrltten as e\" + 1 1. 4. How far does the skydiver fall in 15 seconds