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.

The given force (F) acts on the given ball of mass (m) for the duration (T = 1 s) and imparts an…

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