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KatRina [158]
2 years ago
12

If the crate took 8 seconds to go from traveling at 2 meters per second one way to moving at 2 meters per second in the opposite

direction, what is its acceleration?
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
3 0

Answer:

-0.5 ms^-2

Step-by-step explanation:

The initial velocity (u) = 2 ms-1

Final velocity (v) = 2 ms-1

Time taken (t) = 8 seconds

However the question clearly says that the final velocity is in opposite direction to the initial velocity. This implies that we have (-v), final velocity in opposite direction.

We must recall that vectors in opposite direction are commonly shown using a negative sign. Velocity is a vector, hence it possesses both magnitude and direction as we can see from the question.

Hence;

From a= v-u/t

a= (-2) - 2 / 8 = -0.5 ms^-2

Hence the acceleration of the crate is -0.5 ms^-2

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Solve the equation for<br> x 3/4(x+21) = 10.5 <br> x =
MrRa [10]
<h3>✍️ Answer:</h3><h3>x=-\frac{294}{13}</h3>

✽✽✽✽

\frac{x\cdot \:3}{4\left(x+21\right)}=10.5

\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)

\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)

3x=42\left(x+21\right)

3x=42x+882

\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}

3x-42x=42x+882-42x

-39x=882

\mathrm{Divide\:both\:sides\:by\:}-39

\frac{-39x}{-39}=\frac{882}{-39}

x=-\frac{294}{13}

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<h3>hope it helps...</h3><h3>have a great day!!</h3>
4 0
2 years ago
Need Help ASAP!!!!!!!!!!
taurus [48]

Answer:

0.28

Step-by-step explanation:

Of the 17+28+15 = 61 whose highest degree is 2-year, 17 have an urban place of residence. The relative frequency is ...

17/61 ≈ 0.28

8 0
3 years ago
Find K' if the figure is reflected across the x-axis
snow_lady [41]
<h3>Answer:  K ' is at (1, 4)</h3>

Explanation:

Point K is located at (1, -4)

We use the rule that (x,y) \to (x,-y) when reflecting over the x axis.

The x coordinate stays the same, but the y coordinate flips from positive to negative or vice versa.

Therefore, K(1,-4) will move to K ' (1, 4)

5 0
2 years ago
7^2*3.14*a=1077.02<br> What is a?
eimsori [14]


A =7

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3 0
2 years ago
Read 2 more answers
a trapezoid has base lengths of (6x-1) units and 3 units. Its midsegment has a length of (5x-3) units. What is the value of x?
vodka [1.7K]
1. You have that:

 - The<span> lengths of the bases are (6x-1) units and 3 units.
 - The midsegment has a length of (5x-3) units.

 2. To solve this exercise, you must apply the formula for calculate the length of the midsegment of a trapezoid, which is shown below:

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 3. When you substitute the values, you obtain:

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 4. Now, you can solve the problem by clearing the "x":
</span>
 (5x-3)=[(6x-1)+3]/2
 2(5x-3)=6x-1+3
 10x-6=6x+2
 10x-6x=2+6
 4x=8
 x=8/4
 x=2
3 0
3 years ago
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