after its launch from cape canaveral, a rocket encounters an air resistance forc

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after its launch from cape canaveral, a rocket encounters an air resistance force that varies proportionally to the square of its velocity with factor (T-t), where t is the time variable and T is the instant at which the air resistance force becomes zero. Considering the mass and propulsion force to be constant, we can write the equation that describes the variation of the velocity by the differential equations v'=(F/m)-g-(kv^2/m)(t-T). Describe the possible situations of motion that can occur during the flight. Use F=10N, m=3 ton, g=9.8, k=.001, T=5 min, with the following initial conditions: a: v(0)=10, b: v(0)=100

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