We are standing on the top of a 1200 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is

Question

We are standing on the top of a 1200 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is .   What is the highest point that the object reaches?

_____feet

Answer 1

We need to find the vertex for this quadratic function. Let a = -16, b = 160, and c = 1200 as coefficients of each term.

t = -b/2a = -(160)/2(-16) = -160/(-32) = 5

h(5) = -16(5)² + 160(5) + 1200 = -400 + 800 + 1200 = 1600

The highest point that the object reaches is @ (5, 1600). This means at 5 seconds, the object will reach from the building after being launched at 1600 feet.