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
KiRa [710]
3 years ago
10

A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter

s per second. The height h in meters of the ball is given by h=-4.9t^2+5t+2, where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it? Enter the time in two decimal places. Find the amount of real solutions as well
Mathematics
1 answer:
ozzi3 years ago
8 0

Answer:

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

Step-by-step explanation:

The ball will hit the ground when its height is equal to 0 meters, therefore using this value in the expression and solving for "t" will give us the correct solutions.

h = -4.9*t^2 + 5*t + 2\\\\-4.9*t^2 + 5*t + 2 = 0\\\\t_{1,2} = \frac{-5 \pm \sqrt{5^2 - 4*(-4.9)*(2)}}{2*(-4.9)}\\\\t_{1,2} = \frac{-5 \pm \sqrt{64.2}}{-9.8}\\\\t_{1,2} =\frac{-5 \pm 8.0125}{-9.8}\\\\t_1 = \frac{-5 - 8.0125}{-9.8} = 1.33 \text{ s}\\\\t_2 = \frac{-5 + 8.0125}{-9.8} = -0.3 \text{ s}

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

You might be interested in
There's the 2nd part but I've already done that. I just need an answer or help with this.
guapka [62]
I believe the answer is 644=200+12a
5 0
3 years ago
6 people will attend a lunch 2 cans of juice should be provided per person determine the total number of cans of juice required
N76 [4]

Answer:

12

Step-by-step explanation:

it's 6 people and 2 cans of juice goes to each person so you can multiply 6× 2 and you get 12 . 12 cans of juice would be required to provide 6 people with 2 cans each .

8 0
3 years ago
A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

6 0
3 years ago
(4m² - 4m²)+(-3m² -2m2 + 4 m?)
ICE Princess25 [194]

Answer:

-5m^{2} +4m

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
157772+4426891-56 ajutor
arlik [135]

Answer:

4584607 is your correct answer

3 0
3 years ago
Other questions:
  • Which of the following is a correct tangent ratio for the figure?
    12·1 answer
  • The sum of twice a number and 5 is at most 15
    9·1 answer
  • **only one question** ____ tens = 3700
    12·1 answer
  • What is -4/4 +6 URGENT HELP PLSS
    13·2 answers
  • What is b? Explanation and answer please.
    9·1 answer
  • The area of a rectangle is three times the area of a square. What is the width of the rectangle if it's length is 24 in. and the
    8·1 answer
  • Is 8/10 greater or lesser than 3/8
    12·2 answers
  • A triangle has an area of 70 square kilometers and a height of 10 kilometers.what is the length of the base?
    10·1 answer
  • At Garcia's Bike Rentals, it costs $33 to rent a bike for 6 hours.
    7·2 answers
  • The number 100 can be written as the sum of a 1-digit prime number and a 2-digit prime number. What is the product of these prim
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!