mardi 15 janvier 2013

Projectiles

"How is the motion of projectiles (Objects thrown up in an angle Ѳ with an initial velocity Vo) friction less?"

Projectiles are free-falling objects as the only force acting on them is their weight that pulls them down. There is no interaction between the surface of the projectile and any other surfaces since we dis-regard air resistance.
By shooting a basketball, one could easily deduce that the trajectory of the basketball is a perfect parabola.
Since we proposed that the trajectory of the basketball is a parabola, we need to prove:

"How is this motion parabolic?"



    After integration, we get:
To show that the motion is parabolic, we have to prove that the trajectory of the basketball is in the form:
y = ax^2 + bx + c where a ≠ 0 and b ≠ 0 
Thus when we plot the X and Y coordinates of the position vector OM, we should get a parabola.


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