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at a basketball game, members of the spirit club use a t-shirt cannon to launch team t-shirts to spectators in the stands. the equation below describes the height, h, of the t-shirt, t seconds after it is shot from the cannon c feet above the ground, at an initial velocity of v.
h = -16t 2 + vt + c
solve the equation for initial velocity, v. the cannon launched a t-shirt from an initial height of 5 feet. after 3 seconds the shirt has reached a height of 131 feet. use your equation from #1 to find the initial velocity of the t-shirt. show your work. what does the equation from #1 tell you about the value of the velocity, v, when t = 0? explain.

The required formula is . The initial velocity is 90 ft/s. At t=0, the value of v is undefined.

Step-by-step explanation:

The equation below describes the height, h, of the t-shirt, t seconds after it is shot from the cannon c feet above the ground, at an initial velocity of v.

We need to solve this equation for v.

Subtract c from both sides.

Add 16t² on both sides.

Divide both sides by t.

        .... (1)

Therefore the required formula is .

We need to find the velocity for

Initial height c = 5 feet

Time t = 3 sec

Height h = 131 feet

Substitute c = 5, t = 3 and h = 131 in equation (1).

Therefore the initial velocity is 90 ft/s.

Substitute t=0 in equation (1).

At t=0, the value of v is undefined.

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