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Harrizon [31]
3 years ago
10

A rock is dropped from a height of 80 m and is in free fall. What is the velocity of the rock as it reaches the ground 4.0 secon

ds later?
Mathematics
2 answers:
vlabodo [156]3 years ago
7 0
The answer is 39.2 m/s

We need the velocity of the rock as it reaches the ground, and it is its final velocity. Since it is the free fall, we also must take into consideration gravitational acceleration (a). Therefore, the formula for the final velocity (v2) is:
v2 = v1 + at
v2 - the final velocity
v1 - the initial velocity
a - gravitational acceleration
t - time

As you can see, the distance in this case is not relevant.
It is known:
v1 = 0 m/s (since it was dropped)
a = 9.8 m/s²
t = 4 s

Therefore,  the velocity of the rock as it reaches the ground (v2) is:
v2 = 0 + 9.8 · 4 = 39.2 m/s
Savatey [412]3 years ago
5 0
Here is the solution below:

V = s / t

Where, <span>S </span>is the displacement and
             <span>t </span>is the time taken.
<span>Since displacement is expressed in meters and time taken in seconds. Velocity is expressed in </span>meters/second<span> or</span><span> m/s</span>.

V = 80m / 4.0 secs
V = 20 m/sec

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enyata [817]
I'm writing the answers in the order you asked them
1.4
0.84
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7 0
3 years ago
A family swimming pool holds 60m2 of water. The function below gives the cubic
adelina 88 [10]

Answer:

58.74 cubic meters

Step-by-step explanation:

The function is actually  f(x)=60-0.18x

Here x is the number of days and the corresponding value of "f(x)" would be the water REMAINING after x days.

Since, we want to figure out how much water (from 60 m^3) is remaining after 7 days, we simply have to plug in x = 7 into the function. Whatever number we get, is the AMOUNT OF WATER REMAINING AFTER 7 DAYS.

So,

f(x)=60-0.18x\\f(7)=60-0.18(7)\\=58.74

Thus, the amount of water remaining in the pool after 7 days is 58.74 cubic meters

3 0
3 years ago
What is the exact solution to the equation 4^5x=3^(x-2)<br> list the steps to get the answer
scoray [572]

Answer: x = -0.377

Step-by-step explanation:

We have the equation:

4^(5*x) = 3^(x - 2)

Now we can use the fact that:

Ln(A^x) = x*Ln(A)

Then we can apply Ln(.) to both sides of the equation to get:

Ln(4^(5*x)) = Ln(3^(x - 2))

(5*x)*Ln(4) = (x - 2)*Ln(3)

(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)

x*(5*Ln(4) - Ln(3)) = -2*Ln(3)

x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377

6 0
3 years ago
Which ordered pair is a solution of the equation? -x-4y=-10 A: (3,2) B: (-3,3) C: Both D: Neither
Marina CMI [18]

Answer:

D

Step-by-step explanation:

we let that,

(3,2)=(x,y)

given the equation that,

x-4y=10

so,we substitute the values of (x,y)=(3,2)it become

3-4(2)=-5

and test another coordinates(-3,3)

-3-4(3)=-15

botha answers doesn't give 10 as the answer so the answer is D(neither)

3 0
4 years ago
in a tornado the wind velocity in meters per second can be described by the function v(p)=12.3 sqrt 1134-3p where 'p' is th air
Elena L [17]
We are given with the function
v(p) = 12.3 √(1134 - 3p)
We are asked to find the air pressure when the velocity is 49.3 m/s
Substituting this to v(p)
49.3 = 12.3 √(1134 - 3p)
49.3/12.3 = √(1134 - 3p)
4.01 = √(1134 - 3p)
4.01² = √(1134 - 3p)²
16.07 = 1134 - 3p
3p = 1134 - 16.07
3p = 1117.92
p = 1117.92/3
p = 372.64 millibars
7 0
3 years ago
Read 2 more answers
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