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
Artyom0805 [142]
3 years ago
9

A basketball tosses a ball to a teammate. The ball reaches a maximum height of 11 feet 3 seconds after it was released. If the b

all is thrown from a height of 6 feet, write a quadratic equation that represents the height of the ball as a function of time
Mathematics
1 answer:
labwork [276]3 years ago
3 0

Answer:

h = - 16t² + 49.67t + 6

Step-by-step explanation:

The expression for the height of the basketball, h at time, t is given by

h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².

We need to find u₀ from u = u₀ -

So, h - h₀ = u₀t - 1/2gt²

h - h₀ + 1/2gt² = u₀t

u₀ = (h - h₀)/t + 1/2gt

substituting the values of the variables into the equation, we have

u₀ = (h - h₀)/t + 1/2gt

u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s

u₀ = 5 ft/3s + 1/2 × 96 ft/s

u₀ = 1.67 ft/s + 48 ft/s

u₀ = 49.67 ft/s

Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t

h = u₀t - 1/2gt² + h₀

substituting the values of the variables into the equation, we have

h = u₀t - 1/2gt² + h₀

h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft

h = 49.67t - 16t² + 6

h = - 16t² + 49.67t + 6

You might be interested in
Complete the sentence: similar figures have the
umka21 [38]
I'm assuming it would be the same shape? That's also assuming that it's referring to congruent shapes and angles. 
7 0
3 years ago
Order each set of numbers from least to greatest {7 , 9 √50, √85
Oksi-84 [34.3K]

Answer:

7,√50,9,√85

Step-by-step explanation:

The square root of 50 is 7.071 if you round to the nearest thousandth. The square root of 85 is 9.220. From least to greatest is 7,√50,9,√85

8 0
3 years ago
A photocopier can make 20 copies per minute. which equation can be used to find m, the number of minutes the copier takes to mak
Alex777 [14]

Answer:

It's Option'A' i.e 20m=75

Step-by-step explanation:

or,m=75/20

or,m=3.75

8 0
2 years ago
Squareroot(y-1) + 3 = y
jek_recluse [69]
Note:xy means x times y and x(y) means the same thing

so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0



squareroot(y-1)+3=y

isolate the squareroot
subtrac 3 from boht sides

squareroot(y-1)=y-3

square both sides (since they are equal, you should be able to square both sides and still make it true)

(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5

0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0

therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work



let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true

y=5
7 0
3 years ago
PLEASE HELP ME WITH THIS​
Mice21 [21]
Wha do u need help with
8 0
3 years ago
Other questions:
  • What is the value of the expression?
    7·1 answer
  • Log 6 (1/36) <br><br> 6 is the base. How to evaluate this?
    15·1 answer
  • Lori can do 42 push-ups. this is ten less than twice the amount of push-ups her sister can do. how many push-ups can her sister
    15·1 answer
  • In the quadratic function f(x) = ax^2 + c, what transformation occurs to the parent function when "a" is negative? *
    15·1 answer
  • What is the answer for the picture.
    6·2 answers
  • Write 6.7 as a mixed number and as an improper fraction. Do not try to simplify your answers. mixed number: DO ola X Х Improper
    6·1 answer
  • X+7=15 <br>help me fasttttttt​
    14·2 answers
  • Create a one-step inequality that has solution x greater than 5
    5·2 answers
  • Find the compound interest on Rs 12000 for 2years at 5% per annum
    6·1 answer
  • The question is below.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!