Question

show that the path of the projectile is parabola

Answer 1

hello

Mathematically, they all follow aparabolic path, which is the pathfollowed by a projectile. If you are wondering, a projectile is an object that is only acted on by gravity. In math, a parabola is a curve that is the graphical representation of a quadratic equation.




eq of path of projectile is s=ucos@ -gt2/2

if two projectiles are projected from horizontal ground with different initial velocity and angle....both these quantities are known then at any time t

coordinates of A,  S1=(UacosA)t i - gt2/2 j

coordinates of B, S2=(UbcosB)t i - gt2/2j

coordinates of A wrt to B is S2-S1=t(UacosA-UbcosB)i + 0 j

Xi + Yj = kt i + 0j                                     (UacosA-UbcosB = constant=k)

ie X=kt  is a straight line              

hope this helps friend !!!

Answer 2

H and ab is not equal so it forms a parabola