We start at `t = 0` since negative values of time have no practical meaning here.

We choose values `0.5` seconds apart (if we were to use `t = 1\ "s"` intervals, we would not see enough detail on the graph).

t 0 0.5 1 1.5 2
h 2 5.3 6.1 4.5 0.4
0.511.521234567-1thOpen image in a new page

Graph of projectile (parabola).

This shape is called a parabola and is common in applications of mathematics.

NOTE:

(1) This graph is height against time. The ball went straight up, not forward. (Our graph may give the impression the ball moved in the x- direction as well as up, but this was not the case.)

(2) We could have written the function in this example with h(t) rather than just h. The following 2 equations mean the same thing.

h = 2 + 9t − 4.9t2

h(t) = 2 + 9t − 4.9t2