Question

The first equation in the system models the heights in feet, h, of a falling baseball as a function of time, tThe second equation models the heights in feet, h, of the glove of a player leaping up to catch the ball as a function of time, tWhich statement describes the situation modeled by this system?

Answer 1

Answer:

The height of the baseball is 35 feet at the moment the player begins to leap.

Answer 2

Answer:

The height of the baseball is 35 feet at the moment the player begins to leap.

Step-by-step explanation:

Given the equations:

1. h(t) = 35 + 16t^2

Comparing the equation above yo the equation of motion,

h(t) = ut + 1/2 × at^2

Where,

h(t) represents the heights in feet, h, of a falling baseball as a function of time, t.

2. h(t) = 6 + 18t - 16t^2

Where,

h represents the heights in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

At the time, when the leap time of the glove of the player, t = 0 sec

From equation 1,

h(t) = 35 + 16t^2

= 35 + (16 × 0)

h(0) = 35 ft

This means that the height of the baseball falling is 35 feet at the moment the player begins to catch it.

From equation 2,

h(t) = 6 + 18t - 16t^2

= 6 + (18 × 0) + (16 × 0)

h(0) = 6 ft

This means that the height of the glove of the baseball player as he just leaps to catch the ball is 6 feet.