Answer:
A quadratic equation is of the form ...[1] then the axis of symmetry is given by:
As per the statement:
The ball travels on a parabolic path represented by the equation is:
....[2]
where,
h represents the height of the ball above the ground
t represents the time in seconds.
To find how many seconds does it take the ball to reach its highest point.
On comparing with [1] we have;
a = -8 and b = 40
then:
axis of symmetry is :
sec
⇒2.5 seconds does it take the ball to reach its highest point.
Substitute the value of t =2.5 sec in [2] we have;
Ordered pair = (2.5, 50)
Therefore, (2.5, 50) ordered pair represents the highest point that the ball reaches as it travels through the air