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
L is the circle with equation x2 + y2 = 4
Burka [1]

Answer:

d+2qd+=31

Step-by-step explanation:

Bad Senses ear cows

5 0
2 years ago
The diagram below represents the back of a doghouse. If the perimeter of the doghouse is 445, what is the value of x?
beks73 [17]

Answer:isisisisisjwjsusjsnss

Step-by-step explanation:

4 0
3 years ago
-24x+8y=16 <br><br> what is y?
Rashid [163]
-24x + 8y = 16
+24x            +24x

8y = 16 + 24x

8y/8 = 16/8 + 24x/8

y = 2 + 3x

Answer: y = 2 + 3x
7 0
3 years ago
The frequency table shows the scores from rolling a dice. Work out the median<br><br><br>​
nikitadnepr [17]

Answer:

need a little more information

Step-by-step explanation:

6 0
2 years ago
Evaluate c−d if c=11 and d=−3 .
Harlamova29_29 [7]

Answer:

14

Step-by-step explanation: 11 - -3=14

4 0
3 years ago
Other questions:
  • A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph, how long wil
    5·2 answers
  • Simplify the radical expression.
    6·1 answer
  • What additional information would prove that LMNP is
    13·1 answer
  • Given cos A=
    7·1 answer
  • I need brainly help with this math problem I reward with brainiest
    5·1 answer
  •  what is the average of 55 75 20 46 60
    6·2 answers
  • If Ray earns $120 for 15 hours of work how much will he earn for 20 hours of work at the same rate​
    10·1 answer
  • Evaluate the expression (3.2)².​
    12·1 answer
  • Given the function f(x) =-2/3x+2 solve for the x-and y-intercepts . Use the intercepts to graph the function .
    12·1 answer
  • 8. What are the solutions to this system
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!