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EX #1: A satellite is launched from a spacecraft and will reach a stable orbit 300 km above Earth if it reaches a velocity

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EX #1: A satellite is launched from a spacecraft and will reach a stable orbit 300 km above Earth if it reaches a velocity of 7.7 km/s. Suppose a rocket has a mass ratio (R) of 26, an exhaust velocity c = 2.85 km/s, and a firing time of 120 seconds. Use the formula for a rocket's maximum velocity v(t) = 0.0098t + c ln(R) to determine whether the satellite will achieve a stable orbit above the Earth.

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