6. A skydiver of mass m = 60 kg leaps from a plane with an initial upward velocity of vo = +5 m/s. Assume the diver experiences air resistance proportional and oppositely directed to their velocity, expressed by the drag coefficient b = 11 N/(m/s). Also assume acceleration due to gravity is constant, given by g = 9.8 m/s². The velocity of the diver changes with time, modeled by the following differential equation: m = -mg - bv du dt Solve for v(t) = the velocity of the diver at time t, and determine the diver's terminal velocity: lim v(t) t-x

Let y(t) be the height (in meters) after time t (in seconds) of a rover that is landing on some other planet with the help of a parachute. Taking into account gravity and air resistance, physicists suggest that the air resistance is proportional to velocity. Further data suggests that the fall can be modeled by y"=-5-3y'. If the parachute is released at a height of 600m with an initial velocity of 0m/s, what is its height after t seconds? What is its terminal velocity? y(t) = The terminal velocity is Submit m/s. m/s

An object with an initial velocity of (0) = 2 has an acceleration of a(t) = 3t² + 6. Find its velocity at t = 5. 신

Let y(t) be the height (in meters) after time t (in seconds) of a rover that is landing on some other planet with the help of a parachute. Taking into account gravity and air resistance, physicists suggest that the air resistance is proportional to velocity. Further data suggests that the fall can be modeled by y"=-4-3y'. If the parachute is released at a height of 600m with an initial velocity of 0m/s, what is its height after t seconds? What is its terminal velocity? y(t) The terminal velocity is m/s. m/s