Question

The path of a t-shirt launched from a t-shirt cannon is modeled by the function shown, where x is the horizontal distance (in feet) and y is the vertical distance (in feet). Find the maximum height of the t-shirt.

Answer 1

The maximum height of a t-shirt launched from a t-shirt cannon can be found using the equation v² = v²0 - 2gy.

Step-by-step explanation:

The maximum height of a t-shirt launched from a t-shirt cannon can be found using the equation v² = v²0 - 2gy, where v is the final vertical velocity, v0 is the initial vertical velocity, g is the acceleration due to gravity, and y is the vertical distance. At the maximum height, the vertical velocity is 0, so the equation becomes 0 = v0 - 2gy. Solving for y, we find that the maximum height is y = v20 / (2g).