An object is fired upward from the top of a 200 ft. tower at a velocity of 80 ft/sec. The height of the object, h(t), is modeled by the function h(t) = -16t2 + 80t + 200, where t represent the time in seconds.

What is the maximum height the object will reach?

Question

An object is fired upward from the top of a 200 ft. tower at a velocity of 80 ft/sec. The height of the object, h(t), is modeled by the function h(t) = -16t2 + 80t + 200, where t represent the time in seconds.

What is the maximum height the object will reach?

justjm · Answer

Unless you have knowledge of finding the derivative applying the 1st/2nd derivative test, you can find the y-value of the vertex of this function. The formula to find the vertex is $(\frac{-b}{2a},f(\frac{-b}{2a}))$.