Question

The first equation in the system models the height, h, of a falling volleyball as a function of time, t. The second equation models the height, h, of the hands of a player jumping up to spike the ball as a function of time, t. Which statement describes the situation modeled by this system?

StartLayout Enlarged Left-Brace 1st Row h = 14 minus 16 t squared 2nd Row h = 7 + 24 t minus 16 t squared EndLayout
The volleyball is 7 feet above the ground at the instant the player begins her jump.
The volleyball is 14 feet above the ground at the instant the player begins her jump.
The volleyball is 16 feet above the ground at the instant the player begins her jump.
The volleyball is 24 feet above the ground at the instant the player begins her jump.

Answer 1

Answer: B

Explanation:

EDGE 2023

Answer 2

The volleyball is 14 feet above the ground at the instant the pl;ayer begins her jump.

B is correct.

Explanation:

Here we have two situation of system of models.

`\text{The height (h) of a falling volleyball as function of time (t):h}(t)=14-16t^2`

`\text{The height (h) of the hands of a player as function of time (t):h}(t)=7-24t-16t^2`

We need to find the height of ball above the ground at the instant the player begins jump.

At t=0, player begins jump.

We put t=0 into
`h(t)=7+24t-16t^2`

Height of player hand at t=0 , h=7 feet.

Now we will set t=0 for first model.

`h(0)=14-16*0^2 \ = > 14`

Thus, The volleyball is 14 feet above the ground at the instant the pl;ayer begins her jump.

B is correct.