What does oath will be parabolic mean in physics?

Answer 1

Typo?

Path will be parabolic happens when acceleration is constant, like gravity g

then velocity is linear, stright line graphed against time

and position is quadratic, parabola vs time

if projectile:
a = -g = -9.81 m/s
v = Vi = 9.81 t
h = Hi + Vi t - (9.81/2) t^2
where Vi is initial speed up and Hi is initial height

in the horizontal direction no force so speed is constant u
x = u t
so
graph of x versus h is also a parabola