A 50kg skydiver jumps out of an airplane. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv^2 where c=.1275 kg/m and is the velocity of the skydiver at time t (and upward is positive velocity). The gravitational constant is 9.8 m/s^2 . a) Find a differential equation for the velocity. b) Determine the terminal velocity in meters per second for free-fall (no parachute).
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A 50kg skydiver jumps out of an airplane. We assume that the forces acting on the body are the force of gravity and a retarding force of air resistance with direction opposite to the direction of motion and with magnitude cv^2 where c=.1275 kg/m and i
When an object falls in Earth's gravitational field (think of a skydiver jumping from an airplane or a marble falling in a tank of oil), it accelerates due to the force of gravity. If gravity were the only force acting on the object, then all objects-elephants and feathers alike would fall at the same rate. But gravity is not the only force present. Moving objects also experience resistance or friction from the surrounding medium; it would be air resistance for...
2. A 60 kilogram skydiver (more correctly termed a "skyflopper", as the picture below indicates) jumps from a plane at a height of 1000 meters with an initial velocity of v(0) = 0 meters per second, and falls subject to air resistance whose magnitude is given by 15e, for 25 seconds. At this time his parachute opens and the air resistance is now 180. Assume that the positive direction is downward and the gravitational acceleration constant is g -9.8 m/s,...