What are the characteristics of a parabolic trajectory in gravitational motion?

A parabolic trajectory in gravitational motion is a one-time, non-repeating path with constant acceleration due to gravity.

In more detail, a parabolic trajectory is a specific type of motion that an object follows when it is influenced by the force of gravity. This trajectory is shaped like a parabola, hence the name. It is important to note that this trajectory is a one-time, non-repeating path. This means that once an object has followed this path, it will not return to its starting point, unlike in an elliptical trajectory.

The object in a parabolic trajectory is under constant acceleration due to gravity. This means that the speed of the object is constantly changing, but the rate at which it changes remains constant. This is due to the gravitational force acting on the object, which pulls it towards the centre of the Earth (or any other celestial body).

The initial velocity and angle of launch of the object also play a crucial role in determining the shape and characteristics of the trajectory. If the object is launched at a certain angle with a certain initial velocity, it will follow a parabolic path. The higher the initial velocity, the longer the object will stay in motion and the further it will travel. Similarly, the angle of launch will affect the height and distance of the trajectory.

In summary, a parabolic trajectory in gravitational motion is a unique, one-time path that an object follows under the influence of gravity. It is characterised by constant acceleration due to gravity, and its shape and characteristics are influenced by the initial velocity and angle of launch of the object.