You throw a ball into the air from a height of 5.5 feet with an initial vertical velocity of 40 feet per second. Use the vertical motion model, h = -16t^{2} + vt + s, where v is the initial velocity in feet/second and s is the height in feet, to calculate the maximum height of the ball. Round your answer to the nearest tenth if necessary.^{ }

Maximum height: ^{} feet