17. In a dream, you are piloting a rocket ship that is about to leave a station in deep space. The ship burns one percent of its initial mass each second, and the exhaust leaves the rocket engine with constant speed u. Starting from rest, how long will it take for the ship to be moving at speed u relative to the station? (Assume the station remains at a fixed position in space.)

volts times amps 6 x 0.5 3w

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft