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arlik [135]
3 years ago
14

A ball is thrown into the air with an upward velocity of 20 feet per second. Its height, h, in feet after t seconds is given by

the function h of t equals negative 16t squared plus 20t plus 2 . How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Round to the nearest hundredth, if necessary.
Mathematics
1 answer:
musickatia [10]3 years ago
5 0
<span>height of the ball = h(t) = -16t2 + 20t + 2 The maximum value for h(t) will occur when t = -20/2(-16) = 5/8 It will take 5/8 of a second, or 0.625 seconds, for the ball to reach its maximum height. To find the ball's maximum height, plug in 5/8 for t . h( 5/8 ) = -16( 5/8 )2 + 20( 5/8 ) + 2 h( 5/8 ) = -16( 25/64 ) + 50/4 + 2 h( 5/8 ) = -25/4 + 50/4 + 8/4 h( 5/8 ) = 33/4 The maximum height is 33/4 feet, or 8.25 feet.</span>
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56 points for whoever answers correctly !
vladimir2022 [97]

We need to use what we know about rectangles to get:

1)

  • Total length = 2*W + 8ft
  • Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

<h3>Working with rectangles:</h3>

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool <u>plus twice the width of the sidewalk</u> (we add it twice because is in both ends) then we have:

  • Total length = L + 2*4ft = 2*W + 8ft
  • Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

If you want to learn more about rectangles, you can read:

brainly.com/question/17297081

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All roses in a certain arrangement are red or yellow. If the ratio of red roses to the number of yellow roses is 1/2, each of th
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A) 6
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C)12
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Awnser is C
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Then subtract 36

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const2013 [10]
The answer is (-2,0)
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