1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
antiseptic1488 [7]
2 years ago
10

Maria throws a softball straight up into the air with an initial velocity of 50 ft/sec. The ball leaves her hand when it is exac

tly 4 ft. Above the ground. Write an equation that models the situation.
Mathematics
1 answer:
Nataly_w [17]2 years ago
8 0

Answer:

The equation that models the situation is s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}.

Step-by-step explanation:

Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:

v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o}) (1)

Where:

s_{o}, s_{f} - Initial and final position of the softball, measured in feet.

a - Acceleration, measured in meters per square second.

v_{o}, v_{f} - Initial and final velocities of the softball, measured in feet per second.

If we know that v_{o} = 50\,\frac{ft}{s}, a = -32.174\,\frac{m}{s^{2}} and s_{o} = 4\,ft, then the equation that models the situation is:

v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)

Then, we clear the final position of the softball:

-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4

s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}

The equation that models the situation is s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}.

You might be interested in
I need help with this math question. What is the Area of this shape?
zubka84 [21]

Answer:

A=174

Step-by-step explanation:

Step 1: Separate the figure into two separate shapes, a triangle and a square

Step 2: Find the dimensions of the triangle and square.

Square - l=12 w=12

Triangle - h=5, b=12. (The height was found by subtracting the length of the square (12) from the total length (17).

Step 3: Solve by using formulas

A=(5)(12)/2=30

A=12*12=144

Step 4: Add the parts together

144+30=174

A=174

5 0
3 years ago
Read 2 more answers
What is equivalent to log(x)-log(y)
zalisa [80]

Explanation:

log(x) - log(y) = log(x/y)

3 0
3 years ago
Which of the follwing equations has a quotient with a remainder?
Reptile [31]

Answer: Choice 2) A, B, C

====================================

Explanation:

Use a calculator to find that,

  • 946/32 = 29.5625
  • 1157/11 = 105.1818 approximately
  • 3524/44 = 80.0909 approximately
  • 37392/82 = 456

The first three results have a decimal portion as the answer. So there is a remainder here. The remainder is the leftover bit that couldn't make another full value. Only choice D results in a whole number that isn't a decimal value, so this does not have a remainder.

As a smaller example, let's say we had 20 cookies and 3 people. If we want to divide the cookies evenly, then each person gets 20/3 = 6 full cookies and there would be 2 cookies left over (6*3 = 18 are eaten so 20-18 = 2 is left over). Notice that 20/3 = 6.67 approximately. The non-whole number decimal value indicates we have a remainder. If we had 21 cookies, then each person gets 21/3 = 7 full cookies with nothing left over, so there's no remainder here.

4 0
3 years ago
Lenny bought x shares of stock for Sy per share last month. He paid
gulaghasi [49]

Lenny's net proceeds algebraically are found as;\rm |xy + 20 -  \frac{98}{100} |

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Let the bought share will be $ x, and $y is the price per share

Paid fees to the broker = $ 20

The total amount spent = $(xy+20)

The price at which each share sells = $ A

Broker commission = 2 %

The total amount obtained after selling the shares;

⇒ ax - 2% of ax

⇒ 98 % of ax

Hence, Lenny's net proceeds algebraically are found as;\rm |xy + 20 -  \frac{98}{100} |

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

8 0
2 years ago
A submarine is cruising at a depth of 108 feet. Assume the body of water is at sea level. How can you describe the elevation of
Kay [80]
108 feet below sea level
7 0
3 years ago
Read 2 more answers
Other questions:
  • What other information do you need to prove triangle INF=CAT by the ASA Postulate?
    15·1 answer
  • 31x + y2 - (xy)2<br> if x = 3 and y = -5
    9·2 answers
  • The Nakagin Capsule Tower has 140 modules and is 14 stories high. If all of the modules were divided evenly among the number of
    6·2 answers
  • Line t passes through points (10, 1) and (2, 6). Line u is perpendicular to t. What is the slope of line u?
    5·1 answer
  • If $4500 earns $120 simple interest at a flat rate of 2% p.a., calculate the duration of the investment.
    11·1 answer
  • The average (arithmetic mean) of a set of n numbers is 19. If the average of the 6 greatest numbers in the set is 29 and the ave
    6·2 answers
  • PLEAE HELP ME!!!! i will fail please helpppp
    8·2 answers
  • On a sheet of paper draw a Regular Hexagon with a Radius equal to 6 units.
    11·1 answer
  • Simplify (4x^3)(3x^5)
    14·2 answers
  • 7. Craig rents cars. He earns $75.00 per day plus
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!