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
Nina [5.8K]
2 years ago
9

An object moves along a coordinate axis so that its position at time t is given by s(t)=t3. Estimate its instantaneous velocity

at time t=2 by computing its average velocity over the time interval [2,2.001].
Mathematics
1 answer:
Mademuasel [1]2 years ago
6 0

If the position at time <em>t</em> is

<em>s(t)</em> = (1 m/s³) <em>t</em> ³

then the average velocity over <em>t</em> = 2 s and <em>t</em> = 2.001 s is

<em>v</em> (ave) = (<em>s</em> (2.001 s) - <em>s</em> (2 s)) / (2.001 s - 2 s)

<em>v</em> (ave) = ((1 m/s³) (2.001 s)³ - (1 m/s³) (2 s)³) / (2.001 s - 2 s)

<em>v</em> (ave) ≈ (8.01201 m - 8 m) / (0.001 s)

<em>v</em> (ave) ≈ 12.006 m/s

You might be interested in
Consider the ball that fits perfectly inside the cylinder. The volume of the ball is 3,052.08 cm3. What is the volume of the cyl
mixas84 [53]
We know that

[volume of a sphere]=(4/3)*pi*r³-------> r=∛[(3*Volume)/(4*pi)]
 r=∛[(3*Volume)/(4*pi)]------>  r=∛[(3*3052.08)/(4*pi)]----> r=∛729
r=9 cm

[volume of a cylinder]=pi*r²*h
r=9 cm
h=2*r----> 2*9 -----> 18cm
[volume of a cylinder]=pi*r²*h----->pi*9²*18---> 4578.12 cm³

the answer is
4578 cm³
7 0
3 years ago
What is an angle that crosses itself called?
bagirrra123 [75]
It is intersecting line!
3 0
3 years ago
M+(-9.5)=-7.8 how do you do this problem
krok68 [10]
M + (-9.5) = -7.8

First, simplify your brackets. / Your problem should look like: m + -9.5 = -7.8
Second, change addition to subtraction. / Your problem should look like: m - 9.5 = -7.8
Third, add 9.5 to both sides. / Your problem should look like: m = -7.8 + 9.5
Fourth, simplify. / Your problem should look like: m = 1.7

Answer: m = 1.7

3 0
3 years ago
Zearn m3 l4 math problem please help me
ZanzabumX [31]

Answer:

diameter 5

circumference 15.7

Step-by-step explanation:

Could you mark brainliest please?

3 0
2 years ago
Read 2 more answers
Is (-2, 6) a solution to this system of equations?
nasty-shy [4]
I think the answer is no. I’m not sure. I’m sorry if incorrect
8 0
2 years ago
Other questions:
  • The ratio of dogs to cats at an animal shelter is 2:5 the number of cats is how many times to dogs
    14·1 answer
  • Trigonometry!!!! find y round to the nearest tenth! ​
    10·1 answer
  • Today, you and your friend are at Magic Kingdom in Disney World! Between the both of you, you have $100 to spend on anything! Yo
    10·1 answer
  • If 3x+9=(10+x) then what does x equal?
    10·2 answers
  • Plz help will give what I got (45 points)
    8·1 answer
  • 5x-3(x-2)-x <br><br>Helppppp I just need you to simplify and show your work plz =)
    14·2 answers
  • Help I need this ASAP
    5·1 answer
  • Pls help me! when i write A&gt;9 it says im wrong. pls help meeeeeeeeeeeee
    12·1 answer
  • A store manager predicts that 100 hats will be sold if each hat costs $12. The manager predicts that 4 less hats will be sond fo
    8·1 answer
  • Jan has $30. Brenda has $66. How many DVDs can they buy with their total amount if one DVD costs $12?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!