Question

During halftime at the Cavs game, a slingshot launches T-shirts at the

crowd. A t-shirt is launched with an initial upward velocity of 72 ft/s.
The T-shirt is caught 35 ft above the court. The function
y = -162+72x + 5 gives the T-shirt's height y, in feet,
after x seconds
What is the starting height of the t-shirt?*​

Answer 1

5 feet

Explanation:

The function which governs the T-shirt's height y, in feet, after x seconds is given as:

`y = -16x^2+72x + 5`

We want to determine the starting height of the T-Shirt. This occurs at x=0.

When x=0

`y = -16(0)^2+72(0) + 5\\y= 5$ feet`

The starting height of the t-shirt is 5 feet.