Real World Problems

Question

An employee at a local stadium is launching T-shirts from a T-shirt cannon into the crowd during an intermission of a football game. The height h (in feet) of the T-shirt after t seconds can be modeled by h=−16t^2+96t+4. Find the maximum height of the T-shirt.

Answer 1

To find the max height, you have to find the vertex. The x coordinate is found by:

t = -b/(2a)

t = -96/(2*-16)

t=3

Now, plug this into the original equation to find the y coordinate, which will be the max height.

h=−16(3)²+96(3)+4

h = 148 ft