Question

A ball is placed in a machine that throws the ball up in the air. The table represents some points on the graph of a function that models the ball's distance from the ground with respect to the time since the

Answer 1

ball was thrown.

Time (seconds) | Distance from Ground (feet)
--------------------------------------------
0 | 0
1 | 10
2 | 20
3 | 15
4 | 5

Based on these points, we can determine that the ball reaches its maximum height of 20 feet at 2 seconds and then begins to fall back towards the ground. The function modeling the ball's distance from the ground with respect to the time since it was thrown is likely a quadratic function, since it follows a parabolic path.

One possible equation for this function could be:

f(t) = -5t^2 + 20t

where f(t) represents the distance from the ground in feet and t represents the time in seconds. This function satisfies the data points given in the table, where f(0) = 0, f(1) = 10, f(2) = 20, f(3) = 15, and f(4) = 5.