The general kinematic equations of motion for horizontal displacement can be simplified significantly for this motion. Write the simplified equation for x in this case. Explain how you have been able to simplify it from this

general displacement equation:

x = xo + Vxot + { axt?

     x = x₀ + v₀ₓ t

      x = v₀ₓ t

Explanation:

The general equations of motion have the form

      x = x₀ + v₀ₓ t + ½ aₓ t²

In the case of movement on the x axis, we assume that there is no friction whereby the acceleration is zero, this is a great approximately the air creates a resistance that is proportional to the size of the body and is linear or quadratic depending on the speed.

Sometimes the reference system is also placed at the exit point of the object whereby x₀ = 0, but this approximation is minor and does not change the shape of the cure

      x = x₀ + v₀ₓ t

      x = v₀ₓ t