Answer:
speed(v) will depends of square root of height so it would be a parabolic graph
square of the speed([tex]v^2[/tex]) is directly proportional to height so it would be a straight line graph.
Explanation:
As we know by formula of kinematic that
[tex]v^2 - u^2 = 2 a y[/tex]
here a = acceleration due to gravity(g)
also if object start its motion from rest
[tex]u = 0[/tex]
so we have
[tex]v^2 = 2gy[/tex]
also we can write it as
[tex]v = \sqrt{2gy}[/tex]
so here since square of the speed is proportional to the height so the graph between them is always a straight line.
While if we see another relation then speed is proportional to the square root of height so it would be a parabolic graph