The third stage of a rocket is injected by its booster with a velocity u of 13180 km/h at A into an unpowered coasting flight to B. At B it rocket motor is ignited when the trajectory makes an angle of 25° with the horizontal. Operation is effectively above the atmosphere, and the gravitational acceleration during this interval may be taken as 8.97 m/s2, constant in magnitude and direction. Determine the time t to go from A to B. (This quantity is needed in the design of the ignition control system.) Also determine the corresponding increase h in altitude. Answers: t= h = 158.03 122.14 43° Horiz. S km -25° -Horiz.

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The third stage of a rocket is injected by its booster with a velocity u of 13180 km/h at A into an unpowered coasting flight to B. At B its
rocket motor is ignited when the trajectory makes an angle of 25° with the horizontal. Operation is effectively above the atmosphere,
and the gravitational acceleration during this interval may be taken as 8.97 m/s2, constant in magnitude and direction. Determine the
time t to go from A to B. (This quantity is needed in the design of the ignition control system.) Also determine the corresponding
increase h in altitude.
Answers:
t=
h =
158.03
122.14
43°
Horiz.
S
km
-25°
-Horiz.
Transcribed Image Text:The third stage of a rocket is injected by its booster with a velocity u of 13180 km/h at A into an unpowered coasting flight to B. At B its rocket motor is ignited when the trajectory makes an angle of 25° with the horizontal. Operation is effectively above the atmosphere, and the gravitational acceleration during this interval may be taken as 8.97 m/s2, constant in magnitude and direction. Determine the time t to go from A to B. (This quantity is needed in the design of the ignition control system.) Also determine the corresponding increase h in altitude. Answers: t= h = 158.03 122.14 43° Horiz. S km -25° -Horiz.
The third stage of a rocket is injected by its booster with a velocity u of 13180 km/h at A into an unpowered coasting flight to B. At B its
rocket motor is ignited when the trajectory makes an angle of 25° with the horizontal. Operation is effectively above the atmosphere,
and the gravitational acceleration during this interval may be taken as 8.97 m/s², constant in magnitude and direction. Determine the
time t to go from A to B. (This quantity is needed in the design of the ignition control system.) Also determine the corresponding
increase h in altitude.
Answers:
t=
h=
153.9
504.64
43°
Horiz.
B
11t
5
km
25
-Horiz.
Transcribed Image Text:The third stage of a rocket is injected by its booster with a velocity u of 13180 km/h at A into an unpowered coasting flight to B. At B its rocket motor is ignited when the trajectory makes an angle of 25° with the horizontal. Operation is effectively above the atmosphere, and the gravitational acceleration during this interval may be taken as 8.97 m/s², constant in magnitude and direction. Determine the time t to go from A to B. (This quantity is needed in the design of the ignition control system.) Also determine the corresponding increase h in altitude. Answers: t= h= 153.9 504.64 43° Horiz. B 11t 5 km 25 -Horiz.
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