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
Julli [10]
3 years ago
15

A soccer ball is kicked into the air from a height of 3 feet with an initial velocity of 72 feet per second. How many seconds is

the ball 84 feet above the ground?
Mathematics
1 answer:
Veronika [31]3 years ago
3 0

Answer:

For 2.25 seconds the ball is 84 feet above the ground.

Step-by-step explanation:

Initial height when the ball is kicked = 3 feet

Initial velocity of the soccer ball = 72 feet per second

The height(h) of the vertical thrown object is modeled by the formula :

h(t) = -16t² + vt + s , where t is the time, v is initial velocity and s is initial height

Now, h(t) is given to be 84 feet and we need to find the time taken by the ball to reach 84 feet above the ground :

84 = -16t² + 72t + 3

⇒ 16t² - 72t + 81 = 0

Finding roots of this equation :

t = \frac{72\pm\sqrt{72^2-4\times 16\times 81}}{2\times 16}\\\\\implies t = \frac{72\pm 0}{32}\\\\\implies t = 2.25

Hence, for 2.25 seconds the ball is 84 feet above the ground.

You might be interested in
Sam chose one marble from a bag containing 2 red marbles, 3 white marbles, and 10 black marbles. Find the probability that the m
Anvisha [2.4K]

Answer:

P(black) = 2/3

Step-by-step explanation:

We need to find the total number of marbles

2 red marbles+ 3 white marbles+ 10 black marbles = 15 marbles


To find the probability that Sam chose a black marble, we take the number of black marbles and divide by the total number of marbles

P(black) = black marbles/total marbles

            = 10/15

Divide the top and bottom by 5

            = 2/3

7 0
3 years ago
Answer the question
cluponka [151]

The unit rate in this problem is one payment per month. Since Martha has made 86 payments, that means it has been 86 months. Because of that, we can simply multiply 3335*86 to get 286810.

So she so far has paid $286,810 for her house payment

5 0
3 years ago
Read 2 more answers
Could I get some help in here​
IgorC [24]

Answer:

  98 ft²

Step-by-step explanation:

There are a couple of ways you can think about this one. Perhaps easiest is to treat it as a square with a triangle cut out of it. The cutout triangle has a base (across the top) of 14 ft and a height of 14 ft, so its area is ...

  A = (1/2)(14 ft)(14 ft) = 98 ft²

Of course the area of the square from which it is cut is ...

  A = (14 ft)² = 196 ft²

So, the net area of the two triangles shown is ...

  A = (196 ft²) - (98 ft²) = 98 ft²

_____

Another way to work this problem is to attack it directly. Let the base of the left triangle be x. Then the base of the right triangle is 14-x, and their total area is ...

  A = A1 + A2 = (1/2)(x ft)(14 ft) + (1/2)((14-x) ft)(14 ft)

We can factor out 7 ft to get ...

  A = (7 ft)(x ft + (14 -x) ft)

  A = (7 ft)(14 ft) = 98 ft²

3 0
3 years ago
Plz help me like plzzzzz
Bingel [31]
Is there a picture of the ramp?
6 0
3 years ago
Read 2 more answers
Which activity does economics primarily study?
Vlada [557]

Answer:

economical activities in society

4 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with What is 1.8÷2.40
    7·2 answers
  • Simplify x^2+3x+2/x+1<br><br> A. X+2<br> B. X-2<br> C. X^2+1<br> D. X^2-1
    15·1 answer
  • Hello there! <br><br> Can I get some help? Don't forget to show your work :) <br><br> Thanks!
    14·1 answer
  • Help?? *****10 Points*****
    11·1 answer
  • When a customer wants pie for dessert, you cut whole pies into 7 equal slices. At the end of your shift, 3737 of a cherry pie, 2
    6·1 answer
  • Kevin and 2 friend are playing a game of card there are 52 in deck to be shared equally Kevin wants each player to receive the s
    10·1 answer
  • 1. If you’re good at geometry could you please help me?
    11·1 answer
  • Every floor of a 20 storey building is 5m in high. If a lift moves 2m every second, how long will it take to move from 3rd floor
    11·1 answer
  • Mary had 241 dollars to spend on 6 books. After <br> buying them she had 13 dollars.
    12·1 answer
  • What is the slope between (-4,0) and (0,2)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!