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Natali5045456 [20]
2 years ago
7

The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. A tennis ball machine serves a ball vertically into the

air from a height of 2 feet, with an initial speed of 110 feet per second. what is the maximum height, in feet, the ball will attain?

Mathematics
1 answer:
Artist 52 [7]2 years ago
7 0

Answer:

The maximum height  is 191.063 ft

Step-by-step explanation:

We can easily solve this question by plotting the graph of the equation below

h(t)=-16t^2+Vt+h

Where

h = initial height = 2ft

V = initial speed = 110 ft/s

t = time in seconds

Please, see attached image below

The maximum height corresponds to

191.063 ft

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Find the gradient of the line segment between the points (2,3) and (-3,8).
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Answer:

m = -1

Step-by-step explanation:

Given

Points (2,3) and (-3,8)

Required

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Gradient (m) is calculated by dividing the change in y values by the change in x values.

i.e.

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Where:

(x_1,y_1) = (2,3)

(x_2,y_2) = (-3,8)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

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m = \frac{5}{-5}

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1 year ago
Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles. What tiles need to be added to both sides to remove the smaller x
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Answer:

a) Adding -5x on both sides of the equation to remove the smaller x-coefficient

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Step-by-step explanation:

Given equation:

5x + (−2) = 6x + 4

a) What tiles need to be added to both sides to remove the smaller x-coefficient?

Smaller x-coefficient is 5x to remove the smaller x-coefficient

So, Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) What tiles need to be added to both sides to remove the constant from the right side of the equation?

the constant on right side is 4

Adding -4 on both sides will remove the constant from the right side of the equation

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The Mean = (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85 ) : 12 = 111.166
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The greatest value : 161
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