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
hichkok12 [17]
3 years ago
13

A student dropped a textbook from the top floor of his dorm and it fell according to the formula s(t) = −16t 2 + 8√t , where t i

s the time in seconds and s(t) is the distance in feet from the top of the building.What was the average speed of the fall? Use the fact that the pencil hit the ground in exactly 2.8 seconds. Round your answer to 2 decimal places.
Mathematics
1 answer:
Sidana [21]3 years ago
3 0

Answer:

<h2>-29.61m/s</h2>

Step-by-step explanation:

Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e

V = d(s(t))/dt

s(t) = −16t² + 8t^1/2

V = -32t+1/2(8)t^(1/2 - 1)

V = -32t+4t^-1/2

The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.

V = -32t+4(2.8)^-1/2

V = -32t+4/√2.8

V = -32+4/1.6733

V = -32+2.391

v = -29.61m/s

<em>Hence the average speed of the fall is -29.61m/s</em>

You might be interested in
A team of 17 softball players need to choose three players to refill the water cooler. How many different ways are there to sele
KATRIN_1 [288]
<h3>Answer: 680 different combinations</h3>

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

Explanation:

If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.

So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.

An alternative is to use the nCr formula with n = 17 and r = 3. That formula is

_n C _r = \frac{n!}{r!*(n-r)!}

where the exclamation marks indicate factorials

5 0
3 years ago
A bird is flying at an elevation of 3 5/8 feet above sea level. A fish swims directly under the bird at a depth of 5 1/3 feet be
Stells [14]

Given :

Distance of bird from sea level, d_1 = 3\dfrac{5}{8} = \dfrac{29}{8}\ feet .

Distance between fish and sea level, d_2=5\dfrac{1}{3}=\dfrac{16}{3}\ feet .

To Find :

Distance between bird and fish.

Solution :

Distance between bird and fish is given by :

D=d_1+d_2\\\\D = \dfrac{29}{8}+\dfrac{16}{3}\\\\D=8.958\ feet

Therefore, distance between bird and fish is 8.958 feet.

Hence, this is the required solution.

3 0
2 years ago
Claire buys a jacket that originally cost $76. The price is marked down 25% for a sale, and Claire has a coupon to further reduc
Vika [28.1K]

Answer:

$51.30

Step-by-step explanation:

First, we find 25% of the original price, then we deduct that from the original price. Then, we find 10% of the price and deduct that also.

The original price is $76.

25% of $76 is:

\frac{25}{100} * 76 = $19

We deduct $19 from $76:

76 - 19 = $57

We find 10% of $57:

\frac{10}{100} * 57 = $5.7

Deducting this:

57 - 5.7 = $51.30

She will pay $51.30 for the jacket.

5 0
3 years ago
(Geometry), homework please Help me , will rate brainliestttt
amid [387]

9 the smallest angle is always opposite the smallest side


Answer: choice d, angle B


They couldn't match the choice letters with the angles? Geez.


10.  That's an isoscles triangle


d + d + 116 = 180


2d = 64


d=32


choice a


11. 62+45+k=180


k=180-107 = 73


choice b



6 0
2 years ago
Help quick urgently
Setler [38]

Answer:

We need a more clearer image all we have are add subtract and multiply and there are no definitions or numbers

Step-by-step explanation:

We need a more clearer image all we have are add subtract and multiply and there are no definitions or numbers

7 0
2 years ago
Read 2 more answers
Other questions:
  • A mechanic charges $45 per hour and parts cost $125 write an expression for the total if the mechanic works h hours
    9·1 answer
  • Could you help me with this page
    10·1 answer
  • There are two different music download companies that offer a monthly plan for downloading songs. S-Jams charges $1.29 per song
    10·2 answers
  • If the number 36,000,000 is written in scientific notation, the numerical value of the exponent is
    7·1 answer
  • EXTREMELY URGENT! I'm in a timed math test atm, and I need answers for lots of questions! Look at the pictures posted, ignore my
    8·1 answer
  • If n + 10 = 45.5, then what is the value of the expression n - 25?
    13·1 answer
  • Rueben sells electronics. He earns a 5% commission on each sale he makes. If Ruben wants to make $100 in commission, what is the
    5·1 answer
  • Which ordered pair is a solution of this
    11·2 answers
  • Question 1
    11·1 answer
  • What is the slope of a line that is parallel to the line whose equation is y=4/5x-3
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!