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2 years ago

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A projectile is thrown upward so that its distance above the ground after t seconds is given by the function h(t) = -16t² + 704t

. After how many seconds does the projectile take to reach its maximum height? Show your work for full credit.

1 answer:

Inessa05 [86]2 years ago

5 0

H(t) = -16t^2 +704t = -16(t^2 -44t)
Putting in vertex form: -16(t^2 -44t +484) + 704
h(t) = -16(t-22)^2 + 704
It takes 22 seconds to reach the maximum height, which is the vertex of the parabola at (22,704)

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Point T, the midpoint of segment RS, can be found using the formulas x = (1/2) (6 – 2) + 2 and y = (1/2) (4 – 6) + 6. What are the coordinates of point T?

Answer:

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Step-by-step explanation:

Given

$x = \frac{1}{2}(6 - 2) + 2$

$y = \frac{1}{2}(4 - 6) + 6$

Required

Determine the coordinates of T

The coordinates of T can be represented as $T(x,y)$

To do this, we simply solve for x and y

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Solve 1/2 * 4

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$y = \frac{1}{2}*-2 + 6$

Solve 1/2 * -2

$y = -1 + 6$

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Hence, the coordinates of T(x,y) is:

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