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?

the gun was held 4ft high i.e H = 4ft

Step-by-step explanation:

To determine how high the gun was held when it was fired H;

Before firing the t-shirt up, the gun and the t-shirt are both at the same height.

Therefore,

H = h(0) i.e h(t) at t = 0

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

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

H = 4ft

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

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step-by-step explanation: