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# Model qualitatively and quantitatively the trajectories of charged particles in electric fields

__Trajectory of particle in free fall in Gravitational field __

If an object is dropped (initial velocity = 0) in a Gravitational field ** g**, then it falls with an acceleration

__Trajectory of particle in free fall in Electrical field__

If an object is dropped (initial velocity = 0) in a Electric field ** E**, then it falls with an acceleration

__Trajectory of projectile in Gravitational field__

Trajectories of particles in projectile motion, in a uniform gravitational field are parabolic. (without air resistance)

__Trajectory of projectile in Electrical field__

Let’s see how it is in uniform electric field :

- horizontal acceleration = 0
- vertical acceleration: (constant acceleration)
- These two combine to produce a parabolic trajectory for a projectile
- horizontal displacement in time:
- vertical displacement in time:
- therefore: , which is the equation of a parabola

- horizontal displacement in time:

Extract from *Physics Stage 6 Syllabus © 2017 *NSW Education Standards Authority (NESA)