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pychu [463]
3 years ago
6

a tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an intial speed of 130 feet per second

. What is the maximum height, in feet, the ball will attain? round to the nearest hundredth
Mathematics
1 answer:
Dvinal [7]3 years ago
4 0
For this case, the first thing to do is write the equation of moving the ball.
 We have then:
 h (t) = - 16t ^ 2 + 130t + 2
 Deriving we have:
 h '(t) = - 32t + 130
 We match zero:
 -32t + 130 = 0
 We cleared t:
 t = 130/32
 t = 4.0625 s
 We evaluate the value of t = 4.0625 s in the equation of motion:
 h (4.0625) = - 16 * (4.0625) ^ 2 + 130 * (4.0625) + 2
 h (4.0625) = 266.0625 feet
 Answer:
 
The maximum height, in feet, the ball will attain is:
 
h (4.0625) = 266.0625 feet
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Brilliant_brown [7]
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8 0
3 years ago
Need help ASAP:)))))))))))))<br>Pls show ur work!<br>1.2x + 7 - 5x <br><br>2.2c - 3 = 2(6 - c) + 7c
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Answer:

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Step-by-step explanation:

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1.2x + 7 - 5x =

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c = −5.357143

OR

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5 0
2 years ago
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e-lub [12.9K]
<span>let length of painting = L
 and width = W
from area = length times width
180 inch^2 = L  times W
but L = 5/4  times W
180 inch^2 = 5/4 times W times W

W^2 = (4 x 180)/5
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L = 5/4 x 12
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</span>
<span>Answer: The dimensions of the painting are </span><u>12 x 15 inches</u>.
3 0
3 years ago
A pole that is 3.1 m tall casts a shadow that is 1.18 m long.At the same time , a nearby tower casts a shadow that is 35.75 m lo
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Answer:

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Cross multiply and solve:

1.18x = 3.1 × 35.75

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x ≈ 94

Rounded to the nearest meter, the height of the tower is approximately 94 meters.

7 0
3 years ago
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