Show that for a projection angle θ, where 0° < θ <90°, the path of the projectile is a parabola.
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We have to show that the Trajectory of a projectile is Parabolic
Let the initial velocity of the projectile be u and ang!e of projection be alpha .
Resolving the initial velocity vector along X and Y axes :
- Along X Axis : u cos∅
- Along Y axis : u sin∅
Acceleration along the axes :
- Along X axis : 0
- Along Y axis : - g
Displacement along x - axis :
Displacement along y - axis :
Equation of a parabola is given as :
y = ax - bx²
Thus,
Thus,the Path of a Projectile is Parabolic
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