List of formulae:
- The velocity and direction of the motion after time 't' v2 = u2 - 2ugt sina + g2t2 and tanθ =
- The velocity and direction of motion at height 'h' v2 = u2 - 2gh and tanθ =
- Greatest height attained by the projectile h =
- Time for the greatest height =
- Time of flight
- Range =
- 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 =
That is
with vertex ≡
latus rectum =
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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