\(h(5) = -4.9(25) + 49(5) = -122.5 + 245 = 122.5\) meters

Thu, 07 May 2026 10:21:31 +0000

Understanding the Calculation: \( h(5) = -4.9(25) + 49(5) = -122.5 + 245 = 122.5 \) Meters When solving mathematical expressions like \( h(5) = -4.9(25) + 49(5) \), understanding each step is key to grasping the underlying physics and function evaluationÃƒÂ¢Ã‚Â€Ã‚Â”especially in contexts such as projectile motion. In this case, the result \( h(5) = 122.5 \) meters reveals an important distance measurement derived from a quadratic function. ### What Does \( h(n) = -4.9n^2 + 49n \) Represent? This expression models a physical scenario involving vertical motion under constant gravitational acceleration. Specifically, it approximates the height \( h(n) \) (in meters) of an object at time \( n \) seconds, assuming: