Question

You shake a bottle of soda and take off the cap. If the soda shoots out of the

Answer 1

Answer:  B) 14.7 meters

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Explanation:

The bottle cap is a projectile, so we'll use the aptly named projectile formula

That formula (the meters version of it anyway) is approximately

h = -4.9t^2 + v*t + s

where,

• t = elapsed time in seconds
• h = height at time t
• v = starting velocity
• s = starting height

We'll assume that s = 0, though realistically it's probably going to be a bit larger than this (since the person is holding it above the ground). For the sake of simplicity, we'll stick with s = 0.

We're told that the initial velocity is 17 m/s, which means v = 17.

All of that means the formula mentioned earlier updates into this:

h = -4.9t^2 + 17t

If we were to graph this, or apply the -b/(2a) formula, then you should find that the vertex occurs when t = 1.73469 approximately.

Plug this into the equation we found to get...

h = -4.9t^2 + 17t

h = -4.9(1.73469)^2 + 17(1.73469)

h = 14.7449

h = 14.7

The bottle cap will reach a peak height of approximately 14.7 meters and does so at around the 1.7 second mark. The total flight time is approximately 2*1.7 = 3.4 seconds. This all assumes that the starting height and ending height are both 0 meters off the ground.

Answer 2

Answer:

A. 16.9 m

Explanation:

I think this is the answer i am not sure

but hope it helps