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The flight path of a rocket, launched from the ground, is modeled by y = 0.5(20x – x2), where y is the height of the rocket in feet from the ground and x is the time in seconds after it was launched. Find the vertex of the parabola and explain what it represents in terms of the context.

a. (20, 0); rocket lands at 0 feet after 20 seconds
b. (10, 50); rocket reaches maximum height of 50 feet after 10 seconds
c. (10, 50); rocket reaches maximum height of 10 feet after 50 seconds
d. (20, 0); rocket reaches 20 feet after 0 seconds

User Dgassaway
by
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2 Answers

9 votes

Answer:

(10, 50); rocket reaches maximum height of 50 feet after 10 seconds

Explanation:

After 10 seconds (x) the rocket reaches a height of 50ft (y)

The flight path of a rocket, launched from the ground, is modeled by y = 0.5(20x – x-example-1
User Louay Sleman
by
8.3k points
4 votes

Answer: B. (10, 50)

Explanation:

y = 0.5(20x -
x^(2))


y=-(1)/(2) x^(2) + 10x

to find x coord of vertex use the equation


(-b)/(2a)


x=(-10)/(-1) \\\\x=10

plug in x to the original equation

y = 0.5(20(10) -
(10)^(2)

y = 0.5(100)

y = 50

Answer: (10, 50)

User Stx
by
8.6k points

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