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5) A pumpkin with mass 10 kilograms is launched off the edge of a building 200 meters tall with an initial velocity of 15 meters per second. It is allowed to fall under the influence of gravity, but the air resistance on the pumpkin is proportional to its velocity with constant 10. Determine the motion of the pumpkin after t seconds(x(t)) and determine how long it will take for the pumpkin to hit the ground.

Fig: 1