Question

The New Haven High School cheerleaders got a t-shirt gun. The cheerleaders stand

on the track, and shoot the t-shirts up in the air.
The quadratic function that models the height (in feet) of the t-shirt after a certain
amount of time (in seconds) is:
h(t) = –16ť+ 64+ + 4
How high is the gun being held when it is fired?​

Answer 1

The gun is being held at a height of 4 feet when it is fired.

Step-by-step explanation:

The height of the gun when it is fired can be found by evaluating the quadratic function at time t = 0. We substitute t = 0 into the function h(t) = -16t^2 + 64t + 4 to find the height.

h(0) = -16(0)^2 + 64(0) + 4

h(0) = 4

Therefore, the gun is being held at a height of 4 feet when it is fired.

Answer 2

Step-by-step explanation:

At maximum height, velocity is zero.

We can find the velocity equation by taking the first derivative of the distance formula.

v(t) = -32t +24

Set this equal to 0

t = 2 secs