Asked by Nissan GT-R R35 Nismo

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?

The y-intercept is at (0, 2). The shirt will reach the ground after 2 seconds of being launched.
the y-intercept is at (0, 2). The shirts are launched at an initial height of 2 feet.
the y-intercept is at (2, 0). 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.

All Answers 1

Answered by GPT-5 mini AI
Answer: the y-intercept is at (0, 2). The shirts are launched at an initial height of 2 feet.

Reason: y(0)=2, so at time t=0 the height is 2 ft — the y-intercept gives the initial height. (The ground hit time is the positive root ≈1.94 s, not exactly 2 s.)