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
ohaa [14]
3 years ago
12

PLEASE HELP QUICKLY! 20 points! I will mark best answer as Brainliest!

Mathematics
1 answer:
Alina [70]3 years ago
4 0

t= 2.25 secs

Step-by-step explanation:

Step 1 :

Equation for motion with uniform acceleration is v = u+ at

where v is the final velocity

          u is the initial velocity

          a is the acceleration due to gravity

          and t is the time

Step 2 :

Here , v = 0 because at the highest point final velocity is 0.

u = 72 feet/sec

a = -32 ft/sec^2

We need to find the time t.

Substituting in the equation we have,

0 = 72 -32 * t

=> 32 t = 72

=> t = 72/32 = 2.25 secs

You might be interested in
Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(0) = 2.8 y(t) = 0 Preview
mario62 [17]

Answer:  The required solution is

y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.

Step-by-step explanation:   We are given to solve the following differential equation :

5y^{\prime\prime}+3y^\prime-2y=0,~~~~~~~y(0)=0,~~y^\prime(0)=2.8~~~~~~~~~~~~~~~~~~~~~~~~(i)

Let us consider that

y=e^{mt} be an auxiliary solution of equation (i).

Then, we have

y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.

Substituting these values in equation (i), we get

5m^2e^{mt}+3me^{mt}-2e^{mt}=0\\\\\Rightarrow (5m^2+3y-2)e^{mt}=0\\\\\Rightarrow 5m^2+3m-2=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow 5m^2+5m-2m-2=0\\\\\Rightarrow 5m(m+1)-2(m+1)=0\\\\\Rightarrow (m+1)(5m-1)=0\\\\\Rightarrow m+1=0,~~~~~5m-1=0\\\\\Rightarrow m=-1,~\dfrac{1}{5}.

So, the general solution of the given equation is

y(t)=Ae^{-t}+Be^{\frac{1}{5}t}.

Differentiating with respect to t, we get

y^\prime(t)=-Ae^{-t}+\dfrac{B}{5}e^{\frac{1}{5}t}.

According to the given conditions, we have

y(0)=0\\\\\Rightarrow A+B=0\\\\\Rightarrow B=-A~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

and

y^\prime(0)=2.8\\\\\Rightarrow -A+\dfrac{B}{5}=2.8\\\\\Rightarrow -5A+B=14\\\\\Rightarrow -5A-A=14~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Uisng equation (ii)}]\\\\\Rightarrow -6A=14\\\\\Rightarrow A=-\dfrac{14}{6}\\\\\Rightarrow A=-\dfrac{7}{3}.

From equation (ii), we get

B=\dfrac{7}{3}.

Thus, the required solution is

y(t)=-\dfrac{7}{3}e^{-t}+\dfrac{7}{3}e^{\frac{1}{5}t}.

7 0
2 years ago
What is the least common multiple of 49 and 28?
USPshnik [31]
Least common mulitplue is the smallest number that has 49 and 28 as factors

so to do this
find the factor so 49 and 28 and gropu all of them so both are in it

49=7 times 7
28=2 times 2 times 7
therefor yo need at least two 7's and two 2's
that equals
7 times 7 times 2 itme s2=49 times 4=196

answer is 196
7 0
3 years ago
A scientist planted seeds in 4 sections of soil for experiment. Not alll of the seeds grew into the plant .after 20 days, the sc
Karolina [17]
What is the question? no question has been asked. need more info to solve.
3 0
3 years ago
Jeffrey went to the movies with his friends. The tickets cost $8.50 each for students and they spent $15.00 altogether at the co
LenaWriter [7]

Answer:

4 people

Step-by-step explanation:

Let's first write an equation.

We want to find the number of tickets t

The total was $49 so our equation will equal $49 and they spent $15 in snacks so on the other side of the eqaution we have to add $15, on the same side as the snacks we need to add in the cost of tickets, which is $8.50 multiplies by t, or the total number of tickets.

$49 = $8.50t + $15

Solve for t, first subtract $15 from both sides.

$49 - $15 = $8.50t

$34 = $8.50t   Divide both sides by $8.50

$34/$8.50 =  $8.50t/$8.50  

$34/$8.50 = t

4 = t

4 tickets meaning 4 people went.

7 0
3 years ago
Help with this (explain in detail with the following vocab)
barxatty [35]

Answer Standard form

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
    11·2 answers
  • Whats 45 572 in words
    6·2 answers
  • Mr. Chu is slicing 4 cantaloupe for his class. There are 24 students in the class. If Mr. Chu cuts the cantaloupe to make an equ
    10·2 answers
  • Matt can buy an 8-ounce jar of salsa for 2.79 or a 15 ounce jar of salsa for 5.54. which jar has the best unit rate
    12·1 answer
  • Help Please I really think its c for 7
    5·1 answer
  • Without actually drawing the figure, could you form a triangle using side lengths 7, 8, and 18 units? Why or why not.
    6·2 answers
  • At the market, Mr. Paul bought 7/8 lb of cashews and 3/4 lb of walnuts.
    10·1 answer
  • TO DETERMINE THE AMOUNT OF WRAPPING PAPER NEEDED FOR A RECTANGULAR BOX, RYAN FINDS THE SURFACE AREA OF THE BOX. HOW MUCH WRAPPIN
    6·1 answer
  • 9c-3c=48 what does c equal
    6·2 answers
  • Whats 1-2x+3y for x=-2 and y=-5 ?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!