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mel-nik [20]
2 years ago
5

A simple model to describe the curve of a baseball assumes the spin of the ball produces a constant sideways acceleration (in th

e y−direction) of c ft/s2 . Suppose a pitcher throws a curve ball with c = 8 ft/s2 . How far does the ball move in the y−direction by the time it reaches home plate, assuming an initial velocity of < 130, 0, −3 > ft/s?
Mathematics
1 answer:
sammy [17]2 years ago
8 0

Answer:

S_y, plate = -0.5325 ft (further away from batter)

Step-by-step explanation:

Given:

V_0 = < 130 , 0 , -3 > ft / s

a = < 0 , 32 , 8 > ft / s^2

S_plate = < 60 , z , 0 > ft

S_0 = < 0 , 6 , 0 > ft

The time taken t by the ball to reach home plate:

S_x, plate = S_o,x + V_o,x * t

60 = 0  + 130*t

t = 60 / 130

t = 0.4615 s

The distance traveled by the ball in y-direction when it reaches home plate at t = 6 / 13 s:

S_y, plate = S_o,y + V_o,y * t + 0.5*a_y*t^2

S_y, plate = 0 -3*(0.4615) + 0.5 * 8 * (0.4615)^2

S_y, plate = -0.5325 ft

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Complete the chart to find the mean, variance, and standard deviation. Remember to use commas and round numbers to the nearest t
vitfil [10]

Answer: The mean of the data is 433.75, variance of the data is 99667.19 and the standard deviation of the data is 315.7011.

Explanation:

The given data is 900, 35, 500 and 300.

The number of observation is 4.

Formula of mean is,

\text{Mean}=\frac{\text{Sum of observations}}{\text{Number of observations}}

\bar{X}=\frac{900+35+50+300}{4} =433.75

The formula of variance is given below,

\sigma^2=\frac{1}{n}\sum{(X-\bar{X})^2}

\sigma^2=\frac{398668.75}{4}

\sigma^2=99667.19

The variance of the data is 99667.19

\sigma=\sqrt{99667.19}

\sigma=315.7011

The standard deviation of the data is 315.7011.

The other information or values of given chart is shown in the attached table.

8 0
3 years ago
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How can I solve this?
Eva8 [605]

Answer:

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