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adelina 88 [10]
2 years ago
6

A ballplayer catches a ball 3.4s after throwing it vertically upward. with what speed did he throw it, and what height did it re

ach
Mathematics
1 answer:
Daniel [21]2 years ago
4 0

From the equation of motion, we know,

s=ut+\frac{1}{2}at^{2}

Where s= displacement

u= initial velocity

a= gravitational force

t= time

Displacement is 0 since the ball comes back to the same point from where it was thrown.  

A = -9.8m/s^{2} since the ball is thrown upwards.

Plug the known values into the equation.

=> 0=u\left ( 3.4 \right )+\frac{1}{2}\left ( -9.81 \right )(3.4^{2})

Solving for u gives :

u= 16.67 m/ sec ....... equation (1)

At maximum height, final velocity i.e v is 0

Time take to reach the top = \frac{3.4}{2} = 1.7 sec

v^{2}=u^{2}+2as

=> 0=(16.67)^{2}+2(-9.81)(s)

Solving for s we get

s= 14.16 m


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If we take it that, the total amount is say hmmm "x"
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26\impliedby &remaining
\end{cases}
\\\\\\
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2 years ago
Greg has decreased his running time by 1/10 minute each of the last six weeks. Write an expression to represent the total change
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x is your starting running time. 1/10 of a minute is 6 seconds, so you can do x - 6(6). 6 times 6 = 36, so your answer is x - 36 seconds. 36 seconds.

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2 years ago
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1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot y
iren [92.7K]

Answer:

1a)  Length = 7x + 3  & Width = 4x - 2

1b)  Area = 28x^2 -2x -6

1c)  Area = 2774 sq. m

2.  (x-4)(y+7)

Step-by-step explanation:

1a)

The length given as words is "3 more than 7 times x"

The width given as words is "4 times x minus 2"

The expression for length would be  7x + 3

The expression for width would be 4x - 2

1b)

The area is length * width

Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:

Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6

Area = 28x^2 -2x -6

1c)

Given x = 10, we put this into the area expression we found in (b) above.Let's see:

28x^2 -2x -6\\=28(10)^2 -2(10) -6\\=2774

Area = 2774 sq. m

2.

We can group the first two terms and next two terms and write up:

xy-4y+7x-28\\(xy-4y)+(7x-28)\\y(x-4)+7(x-4)\\(x-4)(y+7)

That's the factored form.

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2 years ago
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Parabola Skate Rental rents skate boards for $4.50 per hour with a rental fee of $35. Arc of Hawk Skate Rental rents skate board
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Answer: \bold{13\dfrac{1}{3}\ \text{hours}}

<u>Step-by-step explanation:</u>

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Arc Hawk Skate Rental:  5.25x + 25


If you want to know when their cost will be the same, set the equations equal to each other.

5.25x + 25 = 4.50x + 35

0.75x + 25 = 35          <em>subtracted 4.50x from both sides</em>

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     x=\dfrac{1000}{75}        <em>divided both sides by 0.75</em>

     x = 13\dfrac{1}{3}        <em>simplified the fraction</em>


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