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zepelin [54]
3 years ago
6

According to Statcast, the average left field home run travels 378 feet and reaches a maximum height of 81 feet. Assuming the ba

ll is hit from 3 feet in the air, write an equation for its height as it travels from home plate.
Mathematics
1 answer:
kogti [31]3 years ago
8 0

Answer:

H = V0y t - 1/2 g t^2     equation for vertical height of object with initial speed     (V0y = V0 sin theta)

If H is to be considered an absolute value from t = 0

h = H + 3 = V0y t - 1/2 g t^2  + 3  where h is height from ground

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Answer:

(18,27) , because the rate of change of the function is \frac{4}{3}

Step-by-step explanation:

step 1

Find the slope of the linear equation

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The slope is equal to

m=(7-3)/(3-0)=\frac{4}{3}

step 2

Find the equation of the line in slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=\frac{4}{3}

b=3 -----> point (0,3) is the y-intercept

substitute

y=\frac{4}{3}x+3

The rate of change of the linear equation is equal to \frac{4}{3}

Remember that

If a ordered pair is a solution of the linear equation, then the ordered pair must satisfy the linear equation

<u><em>Verify </em></u>

1) point (18,27)

substitute the value of x and the value of y in the linear equation

27=\frac{4}{3}(18)+3

27=24+3

27=27 -----> is true

so

The ordered pair is a solution of the linear equation

therefore

The point (18,27) could also be an ordered pair in the table

2) point (27,18)

substitute the value of x and the value of y in the linear equation

18=\frac{4}{3}(27)+3

18=36+3

18 \neq 39 -----> is not true

so

The ordered pair is not a solution of the linear equation

therefore

The point (27,18) could not be an ordered pair in the table

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