Aball is thrown from the top of a 50-ft building with an upward velocity of 24 ft/s. when will it reach its maximum height? how far above the ground will it be?

now, check the picture below, it reaches a maximum point at the vertex, where the seconds is the x-coordinate and the height is the y-coordinate.

so, let's use the coefficients to get the vertex out of that quadratic then,