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3 years ago

A car, has a final velocity of 30 m/s after 10 seconds. What is the car acceleration?

Mathematics

1 answer:

Nastasia [14]3 years ago

8 0

Answer:

3 m/s^2

Step-by-step explanation:

helpful formula below

a= (v - u)/t ....where v is the final velocity, u is the initial velocity, t is time elapsed

acceleration = (30 - 0)/10

= 3 m/s^2

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Use the distance formula to determine the distance between (-8,10) and (-6,7)

hjlf

Answer:

Distance: $\sqrt{13}$ units

Step-by-step explanation:

The distance formula is $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ where:

$d$ is the distance between points $(x_1,y_1)$ and $(x_2,y_2)$
$(x_1,y_1)$ are the coordinates of the first point
$(x_2,y_2)$ are the coordinates of the second point

We are given that:

$(x_1,y_1)=(-8,10)$
$(x_2,y_2)=(-6,7)$

To determine the value of our distance, $d$ , we plug in our given information into the formula and solve for

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-6-(-8))^2+(7-10)^2}$

$d=\sqrt{(-6+8)^2+(-3)^2}$

$d=\sqrt{(2)^2+(-3)^2}$

$d=\sqrt{4+9}$

$d=\sqrt{13}$

Therefore, the distance between $(-8,10)$ and $(-6,7)$ is $\sqrt{13}$ units.

See the attached graph for a visual.

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3 years ago

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4 years ago

A rectangular aquarium 3 ft. x 2 ft. 1 ft. is 2/3 full of water. In cubic feet, how much water is in the tank

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To find the volume of a rectangular prism, we must multiply the length * width * height.

In this case,

Volume = 3 ft * 2 ft * 1 ft

= 6 ft^3

Because this tank is 2/3 full with water, to find out how much water is in the tank, we must multiply 2/3 by the total volume of the tank (6 ft^3).

2/3 * 6 ft^3 = 4 ft^3

This means that there are 4 cubic feet of water in the tank.

Hope this helps!

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3 years ago

A car, has a final velocity of 30 m/s after 10 seconds. What is the car acceleration?​

A car, has a final velocity of 30 m/s after 10 seconds. What is the car acceleration?