Show that the trajectory of a projectile is a parabola.

Explanation:

The diagrammatic representation of the parabolic motion is given below:

In a projectile motion the y component of the velocity is u_y = sin θ

In a projectile motion the x component of the distance is s_x = u cos θ t = ucos 0 × t…(1)

The above equation is in the form of parabola because it represents the y = ax -bx² equation of parabola.

Final Answer:

Hence shown that the trajectory is a parabola for a projectile motion.