1. Determina cuáles de los siguientes objetos en movimiento tendrian una trayectoria parabóli- ca aproximada: a. Una pelota lanzada en una dirección arbitraria. b. Un avión de propulsión a chorro. Un cohete que sale de la plataforma de lanzamiento. Un cohete en el que fallan los motores.

d. The user did not provide the motion of the object. To determine which of the given objects in motion would have a parabolic trajectory, we need to consider the forces acting on each object and whether they are subject to constant acceleration due to gravity. a. Una pelota lanzada en una dirección arbitraria: If the pelota is launched with an initial velocity at an angle to the horizontal, it will experience a constant acceleration due to gravity acting vertically downwards. This results in a parabolic trajectory. Therefore, the pelota lanzada en una dirección arbitraria would have a parabolic trajectory. b. Un avión de propulsión a chorro: An airplane in level flight is subject to thrust and drag forces that are generally horizontal. The vertical forces are balanced by the lift force. Since the vertical acceleration due to gravity is balanced by the lift force, the airplane's trajectory is not parabolic but rather a straight line or a curve depending on the flight path. Therefore, an avión de propulsión a chorro would not have a parabolic trajectory. c. Un cohete que sale de la plataforma de lanzamiento: When a rocket is launched, it initially accelerates upwards due to the thrust from its engines. After the initial burn, the rocket continues to move upwards due to its inertia and the remaining thrust. However, the acceleration due to gravity acts downwards, causing the rocket's trajectory to become parabolic. Therefore, un cohete que sale de la plataforma de lanzamiento would have a parabolic trajectory. d. Un cohete en el que fallan los motores: If the rocket's engines fail, it will continue to move upwards due to its inertia but will no longer accelerate. The only force acting on the rocket will be gravity, causing it to decelerate and eventually fall back to the ground. This results in a parabolic trajectory. Therefore, un cohete en el que fallan los motores would have a parabolic trajectory. In summary, the objects with parabolic trajectories are: - Una pelota lanzada en una dirección arbitraria - Un cohete que sale de la plataforma de lanzamiento - Un cohete en el que fallan los motores