Trajectory

Definition

Trajectory is the path that a moving object follows through space as a function of time. It is determined by factors such as initial velocity, angle of launch, and the forces acting on the object (e.g., gravity).

5 Must Know Facts For Your Next Test

1. The shape of a projectile's trajectory in the absence of air resistance is a parabola.
2. The horizontal and vertical components of motion are independent of each other.
3. Maximum range for a projectile is achieved at a launch angle of 45 degrees when air resistance is negligible.
4. The time to reach maximum height is equal to the time to fall back down from that height.
5. At the peak of its trajectory, a projectile's vertical velocity component is zero.

Review Questions

• What shape does the trajectory of a projectile take in ideal conditions?
• How do horizontal and vertical components of motion relate to each other in projectile motion?
• At what launch angle is the maximum range achieved when air resistance is negligible?

Related terms

Projectile Motion:

The motion of an object thrown or projected into the air, subject only to acceleration due to gravity.

Initial Velocity: The starting speed and direction with which an object begins its motion.

Parabola: \text{A symmetrical, curved plane figure formed by all points equidistant from a fixed point (focus) and a fixed straight line (directrix).}