What Shape is the Distance vs. Time Graph for a Falling Ball?

[J.live]

Homework Statement

What would be the shape of Distance vs Time Graph when a ball is falling?
Please explain. Thanks you

The Attempt at a Solution

I think it will be a curve since the acceleration is constant (9.8 m/s^2) . the slope under the curve will be velocity which will change uniformly overtime? It can't be a straight line since that will make the velocity constant and acceleration zero? I am not sure , need to verify :/

 

[AC130Nav]

Homework Statement

What would be the shape of Distance vs Time Graph when a ball is falling?
Please explain. Thanks you

The Attempt at a Solution

I think it will be a curve since the acceleration is constant (9.8 m/s^2) . the slope under the curve will be velocity which will change uniformly overtime? It can't be a straight line since that will make the velocity constant and acceleration zero? I am not sure , need to verify :/

It will curve upward if you plot the distance increasing on the y axis. If you plot it starting at the height from which it was dropped, it will look like the second half of the trajectory of a cannonball (where the velocity along the ground functions just like time on the x axis).