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marin [14]
3 years ago
9

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 e

quation 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.
Mathematics
2 answers:
fiasKO [112]3 years ago
7 0
The initial velocity is 90 ft/sec 
timurjin [86]3 years ago
4 0

Answer:

The required equation is v=\frac{h-c+16t^2}{t}.

Step-by-step explanation:

The given equation is

h=-16t^2+vt+c

where h is height of t-shirt after t seconds, c is initial height and v is initial velocity.

We have to solve the equation for initial velocity, v.

Subtract c from both the sides.

h-c=-16t^2+vt

Add 16t² on both the sides.

h-c+16t^2=vt

Divide both sides by t.

\frac{h-c+16t^2}{t}=v

Therefore the required equation is v=\frac{h-c+16t^2}{t}.

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