Wa projectle is fred straight upward from the ground with an initial speed of 160 feet per second, then its height h in feet after I seconds is given by the function h(t)=-16t^2+160t Find the maximum height of the projectile

To find the maximum height of the projectile, we need to find the vertex of the parabolic function . The vertex of a parabola in the form is given by the formula .In this case, and . Plugging these values into the formula, we get: Simplifying, we have: So, the maximum height occurs at seconds.To find the maximum height, we substitute into the function : Simplifying, we have: Therefore, the maximum height of the projectile is 400 feet.