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Helga [31]
2 years ago
6

Bob shoots off a small rocket from the balcony of his apartment. The balcony is 30 ft above the ground and the rocket travels at

40 ft/second. When does it reach the highest point? What is the highest point? When does it hit the ground (seconds)?
Mathematics
1 answer:
frutty [35]2 years ago
6 0

From the calculations;

  • The highest point above the ground is 112 feet
  • The time taken to reach this height is 8 seconds

<h3>Equations of motion</h3>

The equations of motion are used in kinematics to obtain the various variables that has to do with motion.

In this case;

distance covered = 30 ft

initial velocity = 40 ft/second

Final velocity = 0 m/s at the maximum height

Hence;

v^2 = u^2 - 2gh

since v = 0

u^2 = 2gh

h = u^2/2g

h = (40)^2/2(9.8)

h = 82 feet

highest point above the ground = 82 feet + 30 feet = 112 feet

Now;

v = u - gt

since v = 0

u = gt

t = u/g

t = 40/9.8

t = 4 seconds

Time taken to hit the ground = 2(4 seconds) = 8 seconds

Learn more about kinematics:brainly.com/question/27126557

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Please help me solve this!!!!!
gulaghasi [49]

Answer

Burger meal = $8 and Hot dog meal = $6

Step-by-step explanation:

Let's use "x" to represent burger meals and "y" to represent hot dog meals.

Garcia family:

3x + 4y = $48

Baker family:

6x + 2y = $60

We have to first compare both families' and then eliminate one of our common variables, either the "x" or "y".

3x + 4y = $48

6x + 2y = $60

Let's eliminate "x". To do this we can multiply "3x" by "-2" to get "-6x". This will cancel out "6x":

-2 (3x + 4y = $48) ...our new equation would be....

-6x - 8y = -$96

Now to add our two families' equations together...

-6x - 8y = -$96

+

6x + 2y = $60

=

- 6y = -$36

Divide both sides by "-6" to get "y" by itself.

y = $6

We now know the value of "y" <em>or </em>one hot dog meal. Next, we want to solve for "x", our variable for the hamburger meal... We will plug in our y value to help us...

3x + 4(6) = $48

3x + 24 = $48

We want to get our x by itself. First, we can subtract 24 from each side.

3x = $24

Then we will divided both sides by 3 to get x alone.

x = $8

To check our work we can plug in our values for both "x" and "y" to see if they add up to $48 and $60:

3(8) + 4(6) = $48

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and...

6(8) + 2(6) = $60

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aniked [119]
The greatest common factor between any list of numbers is the biggest multiple that they all share.
For example, 5, 35 and 50 all share 5 as the biggest common factor, making 5 the greatest common factor.

Now that we have our example and definition out of the way, let's make out the factors.

12:
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2 x 6
3 x 4

40:
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2 x 20
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5 x 8

60:
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2 x 30
3 x 20
4 x 15
5 x 12
6 x 10

Now that we have our factors, let's look for the biggest number that they have in common.

They all share 4 as the biggest number.

Your GCF (Greatest Common Factor) is 4.

I hope this helps!

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