When the velocity v of an object is very large, the magnitude of the force due to air resistance is proportional to v with the force acting in opposition to the motion of the object. A shell of mass 6 kg is shot upward from the ground with an initial velocity of 700 m/sec. If the magnitude of the force due to air resistance is (0.1)v², when will the shell reach its maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s.

When the velocity v of an object is very large, the magnitude of the force due to air resistance is proportional to v with the force acting in opposition to the motion of the object. A shell of mass 6 kg is shot upward from the ground with an initial velocity of 700 m/sec. If the magnitude of the force due to air resistance is (0.1)v², when will the shell reach its maximum height above the ground? What is the maximum height? Assume the acceleration due to gravity to be 9.81 m/s.