Question

During a baseball game, a player hits a ball while a bird is flying across the field. Let t be the time in seconds since the ball is hit and h be the height in feet. The height of the baseball over time is modeled by the equation h = â€"16t2 65t and the height of a bird over time is modeled by the equation h = 8t 20. What do the intersection points of the equations represent? the height of the bird and the ball when the ball and the bird are the same distance from the player the height of the bird and the ball when the player hits the ball the time when the height of the ball and the bird are the same the time when the ball and the bird hit the ground.

Answer 1

The intersection points of the equations represents; C: The time when the height of the ball and the bird are the same.

We are given;

The height of the baseball over time:

h = -16t² + 65t

The height of the bird over time:

h = 8t + 20

The intersection point will be the value of t when; 8t + 20 = -16t² + 65

Rearranging gives;

16t² + 8t - 45 = 0

Using online quadratic equation calculator gives us;

t = -1.94 s or t = 1.44 s

Now, since both equations measure height vs time, it means that the points of intersection tell us the time when the height of the ball and the bird are the same.

Read more about height modeled by quadratic equations at; brainly.com/question/16313346