A soccer player kicks a ball with an initial velocity of 38 feet every second. The functionf(x)=−16x2+38x

Question

can be used to model the time the ball is in the air.
What is the meaning of the origin for this situation?(1 point)
Responses

After 38 seconds, the ball is at a height of 16 feet.
After 38 seconds, the ball is at a height of 16 feet.

After 16 seconds, the ball is at a height of 38 feet.
After 16 seconds, the ball is at a height of 38 feet.

At 0 seconds, the ball is at a height of 38 feet.
At 0 seconds, the ball is at a height of 38 feet.

At 0 seconds, the ball is at a height of 0 feet.

Answer 1

In the context of the function \( f(x) = -16x^2 + 38x \), where \( x \) represents time in seconds and \( f(x) \) represents the height of the ball in feet, the origin (0,0) corresponds to:

• At 0 seconds, the height of the ball is 0 feet.

Therefore, the correct response is:

At 0 seconds, the ball is at a height of 0 feet.