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Sergio039 [100]
3 years ago
6

• A neighborhood threw a fireworks celebration for the 4th of July. A bottle rocket was launched upward from the ground with an

initial velocity of 160 feet per second. The formula for vertical motion of an object is h(t) = 0.5at2 + vt +s, where the gravitational constant, a, is -32 feet per square second, v is the initial velocity, s is the initial height, and h(t) is the height in feet modeled as a function of time, t.
Part A: What function describes the height, h, of the bottle rocket after t seconds have elapsed?


Part B: What was the maximum height of the bottle rocket?​
Mathematics
2 answers:
Ksju [112]3 years ago
6 0

Answer:

poopy

Step-by-step explanation:

Marina CMI [18]3 years ago
5 0

Answer:

h(t)=0.5at^2+v+5

Step-by-step explanation:

If you know how to do math you should know

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Pat wishes to fence in a rectangular area, using the wall of her garage as one side, so only three sides need to be fenced. If s
natali 33 [55]

Answer:

The maximum area is 800 ft².

Step-by-step explanation:

Lets call L the length of the side parallel to the garage and M the length of the other two sides. The total amount to fence is 2M+L and the area is L*M.

Since Pat got 80ft of fence, then 2M+L = 80, hence L = 80-2M. By replacing the value of L in the formula of the area, we get that

A(M) = M*(80-2M) = -2M² + 80M

The maximum of this function can be obtaining throught derivation, but since it is a quadratic with negative main coefficient, we know that the maximum is the vertex. The x-coordinate of the vertex is '-b/2a' = -80/2*(-2) = 20. The y-coordinate (which represents the maximum area),  as a result, is A(20) = -2*20²+80*20 = 800.

800 is the maximum area that can be fenced. Note that M = 20 and L = 80-2L = 40.

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