Answer:
Time at which the hammer reaches the ground is 2.3 seconds.
Step-by-step explanation:
We are given the formula as, 
.
It is known that, when height i.e. 
meter, then velocity 
m/sec.
So, we get the formula as, 
.
Now, when the hammer hits the ground, the height 
meter.
Thus, we have,
⇒ 
⇒ 
⇒ 
i.e. t= ±2.3 sec
Since, time cannot be negative.
So, t= 2.3 sec
Hence, the time at which the hammer reaches the ground is 2.3 seconds.
The constant of porportionality is 4/7 which is .571 as a decimal.
We conclude that the solution to the linear equation is x = 1/24.
<h3>
How to find the number?</h3>
Let's define x as the number.
Now we want to write:
"the sum of 2/3 and for times a number...."
That can be written with the equation:
2/3 + 4*x
And we also know that:
"the sum of 2/3 and for times a number is equal to 5/6"
Then we can complete the linear equation:
2/3 + 4*x = 5/6
Now we need to solve it for x:
2/3 + 4x = 5/6
4x = 5/6 - 2/3
4x = 5/6 - 4/6
4x = 1/6
x = (1/4)*(1/6) = 1/24
x = 1/24
We conclude that the solution to the linear equation is x = 1/24.
If you want to learn more about linear equations:
brainly.com/question/1884491
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The answer is freaking letter D
