A ball of mass 2 kilograms is loaded into a spring gun which is pointed vertically upward. At t = 0 seconds, the spring gun exerts an upward force of 100 newtons for 1 second. Assuming a drag coefficient of 0.3 kilograms per second and drag proportional and against the velocity, give a second-order equation and initial conditions for vertical position y in meters of the ball that is initially at rest. Use g = 9.8 meters per second per second and assume the initial position is 0.

A ball of mass 2 kilograms is loaded into a spring gun which is pointed vertically upward. At t = 0 seconds, the spring gun exerts an upward force of 100 newtons for 1 second. Assuming a drag coefficient of 0.3 kilograms per second and drag proportional and against the velocity, give a second-order equation and initial conditions for vertical position y in meters of the ball that is initially at rest. Use g = 9.8 meters per second per second and assume the initial position is 0.