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erastova [34]
2 years ago
5

A BASKETBALL PLAYER MAKES A BASKET THROUGH A TEN FOOT HIGH BASKET FROM 20 FEET AWAY. IF THE SHOOTER RELEASES THE BALL FROM 8 FEE

T ABOVE THE GROUND AND THE BALL HAS A HORIZONTAL VELOCITY OF 10 FEET/SECOND. WHAT IS THE VERTICAL VELOCITY OF THE BASKET BALL?
Mathematics
1 answer:
mixas84 [53]2 years ago
7 0

Answer:

The vertical velocity of the ball when released = 10.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

Step-by-step explanation:

The given parameters are;

The height of the basket = 10 feet

The horizontal location of the shooter from the basket = 20 feet

The height from which the shooter releases the ball = 8 feet

The horizontal velocity of the ball = 10 ft/s

Therefore, we have;

Time, t = Horizontal distance/(Horizontal velocity)

t = 20/10 = 2 seconds

The vertical velocity is given as follows;

s = u·t - 1/2·g·t²

Where;

u = The vertical velocity

s = The height above the initial height from which the ball is released

s = y - y₀

Where;

y = The final height of the ball in the calculation = The height of the basket = 10 foot

y₀ = The initial height from which the ball is released = 8 feet

∴ s = 10 - 8 = 2 feet

g = The acceleration due to gravity = 9.81 m/s²

Substituting gives;

2 = u × 2 - 1/2 × 9.81× 2²

u = (2 + 1/2 × 9.81× 2²)/2 = 10.81 m/s

The vertical velocity of the ball when released = 10.81 m/s.

The vertical velocity of the ball in the basket is given by the following relation;

v² = u² - 2·g·s

v² = 10.81² - 2×9.81×2 = 77.6161

v = √(77.6161) = 8.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

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Popcorn kernels pop independently (i.e. unimolecularly). For one brand at constant temperature, 12 kernels pop in 5 seconds when
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Answer:

no of kernels  pop = 4.34

Step-by-step explanation:

given data

kernels pop in 5 second  = 12

kernels are present = 235

solution

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kernels are pop at rate = 12  ÷  235  

kernels are pop at rate = 0.051063

and

we get here maximum kernels are remaining that is

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maximum kernels remaining = 85

so

no of kernels  pop in 5 second will be

no of kernels  pop = 0.051063   × 85

no of kernels  pop = 4.34

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Answer:

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Step-by-step explanation:

You can check this by plugging any of the values from the table into the equation. You can find the answer by finding the slope and then using that to find the y-intercept.

y2-y1/x2-x1  

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If we set x = 0 to find our y-intercept, and we know that we have a slope of 2 we can subtract 2 from 14 to get the y-intercept.

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Answer:

(A)24 square units

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Step-by-step explanation:

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From the options, the areas are:

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