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EleoNora [17]
3 years ago
8

Can someone explain me problem #5 please? Thanks

Mathematics
1 answer:
drek231 [11]3 years ago
5 0

The question describes the motion of a ball and asks about the motion of a rocket. There is no explanation for that. It goes directly into my "dumb question" file.

<h3>Given</h3>

The equation of ballistic motion is

... h(t) = -1/2·g·t² + v₀·t + h₀

where v₀ and h₀ are the initial upward velocity and height, respectively.

A rocket's motion is modeled by

... h(t) = -4.9t² + 18t + 14 . . . . . where h is in meters and t is in seconds

<h3>Find</h3>

<u>Part A</u>: v₀

<u>Part B</u>: h₀

<u>Part C</u>: (1) changes if h were measured in feet instead of meters. (2) the gravity coefficient in ft/s².

<h3>Solution</h3>

<u>Parts A and B</u>: You have correctly identified the coefficients in the equation that tell you the initial velocity (18 m/s) and height (14 m).

<u>Part C</u>: The relationship between feet and meters is

... 0.3048 m = 1 ft

Changing the units from m/s and m/s² to ft/s and ft/s² means we need to multiply the equation's coefficients by the appropriate conversion factor. Starting with the first coefficient ...

... (-1/2)g = -4.9 m/s²

... g = 9.8 m/s² = (9.8/0.3048) ft/s² ≈ 32.15 ft/s²

The new initial velocity is

... 18 m/s = 18/0.3048 ft/s ≈ 59.01 ft/s

The new initial height is

... 14 m = 14/0.3048 ft ≈ 45.93 ft

If we round all coefficients to 2 significant digits, the motion equation for units of feet and seconds is

... h(t) = -16t² + 59t + 46

(1) All of the coefficients in the function change to appropriate units. The new equation is ...

... h(t) = -16t² + 59t + 46

(2) The gravity coefficient is approximately 32 ft/s², so shows up in the equation as a coefficient of -16.

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Isolating a variable in two equations is easiest when one of them has a coefficient 1.
Tomtit [17]

Answer:

Option C.

Step-by-step explanation:

The given equations are

3A-B=5

2A+3B=-4

We need  isolate one of the variables, such that it appears by itself on one side of the equation.

Isolating a variable in two equations is easiest when one of them has a coefficient 1.

In equation 1, coefficient of B is 1. So, we can easily isolate one of the variables.

The equation is

3A-B=5

Subtract 3A from both sides.

-B=5-3A

Multiply both sides by -1.

B=3A-5

Therefore, the correct option is C.

6 0
3 years ago
Lopez’s mailing bill is automatically deducting $19 from his bank account every month. How much will the deductions total for th
MakcuM [25]

If Lopez's mailing bill continues to deduct 19$ from his bank account every month for a year, then in total, the deductions total for the year would be $228.00.

Why?

$19.00 is being taken away each month. There are 12 months in a year.

$19.00 x 12 months = the total of $228.00 a year.

5 0
3 years ago
8 divide by 1 1/4 KCF
Diano4ka-milaya [45]

Answer:

32/5

Step-by-step explanation:

K=Keep the first Fraction (You can rewrite 8 as 8/1 for when you multiply across.)

C=Change the Division Sign to a Multiplication Sign

F=Flip the Second Fraction

First, rewrite 1 1/4 as 5/4 (A mixed number can be changed to a fraction by multiplying the outside whole number by the denominator or bottom number of the fraction, then add the new rewritten whole number and the original fractional piece. In this case you would multiply the outside 1 by the bottom 4 and add it to the original 1/4. 4/4+1/4=5/4)

Second, Flip 5/4 to 4/5 and change your equation so it now reads: 8/1 x 4/5

Third, use simple fraction multiplication and multiply across to get 8/1 x 4/5=32/5

6 0
3 years ago
suppose someone tells you that she has a triangle with sides having lengths 2.6,8.1 and 8.6. Is this a right triangle? why or wh
sveta [45]
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.

How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.

So, substituting our values in, we have:

(2.6)² + (8.1)² = (8.6)²

Performing the necessary calculations, we have:

6.76 + 65.61 = 73.96
72.37 ≠ 73.96

Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
3 0
3 years ago
Jessie says to round 736,400 to the nearest ten thousand ,he will round to 770,000. is he right? explain.
djverab [1.8K]

no because if your rounding 736,400 it will be 740,000 if its 4 or less you let it rest if its 5 or more it rises


3 0
3 years ago
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