If a skydiver jumps from an airplane, his velocity v, in feet per second, starts at 0 and increases toward terminal velocity. An average-size man has a terminal velocity T of about 176 feet per second. The difference D = T − v is an exponential function of time. (a) What is the initial value of D? (b) Two seconds into the fall, the velocity is 54.73 feet per second. Find an exponential formula for D. (Round your coefficients to two decimal places. Use t, which is the time in seconds since the jump, as your variable.)   (c) Find a formula for v. (Use t as your variable.) v(t) =  (d) Express the velocity 5 seconds into the fall using functional notation. v(  ) Calculate that value. (Round your answer to two decimal places.)  feet per second

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.