Formulae used in Projectiles Assignment Help

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List of formulae:

  • The velocity and direction of the motion after time 't' v2 = u2 - 2ugt sina + g2t2 and tanθ =  196_Formulae used in Projectiles.png
  • The velocity and direction of motion at height 'h' v2 = u2 - 2gh and tanθ =  738_Formulae used in Projectiles1.png
  • Greatest height attained by the projectile h =  1540_Formulae used in Projectiles2.png
  • Time for the greatest height =  735_Formulae used in Projectiles3.png
  • Time of flight  2441_Formulae used in Projectiles4.png
  • Range =  2088_Formulae used in Projectiles5.png
  • Maximum Range = u2/g

Here         u : initial velocity of body

                a : Angle of projection

                θ : Angle which the velocity of projectile at some certain point makes with the horizontal (It is tangent to the path of projectile at the point)

                        g : acceleration because of gravity

Note:  

  • The path of projectile is a parabola, which is given by y =  752_Formulae used in Projectiles6.png

That is 2189_Formulae used in Projectiles7.png

            with vertex ≡ 1209_Formulae used in Projectiles8.png

            latus rectum  = 551_Formulae used in Projectiles9.png

            and height of directrix = u2/2g

  • The velocity at any point is equal in the magnitude, to that which would be acquired by the particle in falling freely from directrix to that point.
  • There are 2 direction for the given range and velocity and also 2 times for the given height.

 

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