The cheerleaders at a football game launch T-shirts into the crowd from the back of a golf cart that is 2 feet off the ground. The T-shirts have an upward velocity of 30 feet per second. Using the function y=−16t^2+30t+2 , which of the following correctly identifies the y-intercept and best explains its meaning?(1 point)

Question

Responses

The y-intercept is at (2,0). The shirts are launched at an initial height of 2 feet.
The y -intercept is at left parenthesis 2 comma 0 right parenthesis . The shirts are launched at an initial height of 2 feet.

The y-intercept is at (0,0). The shirts are launched from the ground.
The y -intercept is at left parenthesis 0 comma 0 right parenthesis . The shirts are launched from the ground.

The y-intercept is at (0,2). The shirts are launched at an initial height of 2 feet.
The y -intercept is at left parenthesis 0 comma 2 right parenthesis . The shirts are launched at an initial height of 2 feet.

The y-intercept is at (0,2). The shirt will reach the ground after 2 seconds from being launched.

Answer 1

The correct response is:

The y-intercept is at (0,2). The shirts are launched at an initial height of 2 feet.

The y-intercept of the function \( y = -16t^2 + 30t + 2 \) occurs when \( t = 0 \), and plugging \( t = 0 \) into the function results in \( y = 2 \). This indicates that the T-shirts are launched from an initial height of 2 feet above the ground.