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pav-90 [236]
2 years ago
7

-12 +15 + (-30) +17= (?)

Mathematics
1 answer:
tino4ka555 [31]2 years ago
7 0

Answer:

-10

Step-by-step explanation:

-12+15=3

(-30)+17=-13

3+(-13)=-10

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A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32
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2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

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v(t) = -32*t + 32

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v(t) = 0 = -32*t + 32

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So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

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