Question

prove that 'projectile motion is parabola'.

Answer 1

Let's consider the equation of a height of a flying projectile:

H(t) = gt²/2 + Vv*t + H0,

where g is the gravity acceleration, t is time, Vv - initial vertical velocity, H0 - initial height. As we see, this equation is parabolic with respect to time variable. So, projectile trajectory is parabola.