susan2985 susan2985
  • 12-11-2019
  • Physics
contestada

Use the language of mathematics to describe the path or trajectory of a projectile?

Respuesta :

Netta00 Netta00
  • 13-11-2019

Answer:

Lets take

u =velocity

θ =angle from horizontal

The horizontal component of velocity = u cosθ

The vertical component of velocity = u sinθ

The horizontal distance x in time t

   x = u cosθ  .t               -----------1

The vertical distance y in time t

[tex]y=usin\theta.t-\dfrac{1}{2}gt^2[/tex]         --------2

t= x/(u cosθ)                 ( tanθ=sinθ/cosθ)

[tex]y=xtan\theta-\dfrac{gx^2}{2u^2cos^2\theta}[/tex]

Form above we can say that path of the projectile motion is parabolic.

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