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
KengaRu [80]
3 years ago
8

The equation of motion for a particle in meters at time t seconds is s(t)=sin(pi(t)/6)+cos(pi(t)/6), 0 is less then/equal to t i

s less then or equal to 2. What is the acceleration at the instant the velocity is 0
Mathematics
1 answer:
Trava [24]3 years ago
7 0
S(t) = sin(πt/6) + cos(πt/6)
Velocity = s'(t) = π/6 (cos(πt/6) - sin(πt/6))

When velocity = 0
cos(πt/6) - sin(πt/6) = 0
cos^2(πt/6) -2cos(πt/6) sin(πt/6) + sin^2(πt/6) = 0
1 - 2cos(πt/6) sin(πt/6) = 0
1 - sin(πt/3) = 0
sin(πt/3) = 1
πt/3 = arcsin(1) = π/2
t = 1.5

acceleration = s''(t) = -(π/6)^2 (cos(πt/6) + sin(πt/6))
s''(1.5) = -(π/6)^2 (cos(π/4) + sin(π/4)) = -(π/6)^2 (2/√2) = -0.3877
accerelation = -0.3877 meter/s^2
You might be interested in
Please help me anyone
Alchen [17]

Answer:

the third one

Step-by-step explanation:

5.26 is less than 5.4

4 0
2 years ago
Read 2 more answers
Multiply and simplify the following expression -4√15 x(-√3)
larisa [96]

Answer:

\large\boxed{12\sqrt5}

Step-by-step explanation:

\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\-----------------\\\\-4\sqrt{15}\cdot\left(-\sqrt3\right)=4\sqrt{(15)(3)}=4\sqrt{5\cdot3\cdot3}=4\sqrt5\cdot\sqrt9\\\\=4\sqrt5\cdot3=12\sqrt5

6 0
3 years ago
"a computer system requires that passwords contain at least one digit. if "seven" characters are generated at random, and each i
PtichkaEL [24]

There are 36^7 different passwords available, incluiding ones that have repeated characters, are sequential characters, or are all the same letter or digit. Of these 26^7 are invalid. the probability of obtaining a valid password is

... 1 - 26^7/36^7 ≈ 0.8975

5 0
3 years ago
If you don't know, please don't answer.
weeeeeb [17]
The answer is c. Have a great day kids❤️❤️
3 0
3 years ago
Read 2 more answers
Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
8_murik_8 [283]

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

3 0
3 years ago
Other questions:
  • Triangle TRE has vertices T(3,6), R(-3,10), and E(-9,4). Find the coordinates of point M if line TM is a median of triangle TRE
    6·1 answer
  • Help me solve the two questions
    14·1 answer
  • Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)
    7·1 answer
  • What is 9 2/5-8 1/3 I need to know for math tomorrow
    9·1 answer
  • What is 54 percent as a fraction in simplest form
    9·2 answers
  • Rozonda defines the diameter of a circle as a line segment passing through the center of the circle. Is Rozonda’s definition val
    8·2 answers
  • Count from 170 through 410 U team tens and hundreds circle at least one benchmark number
    6·1 answer
  • What do I do first? do I multiply 11×11.091 first?
    9·2 answers
  • Can someone please help me with this problem?
    11·2 answers
  • Determine if the function f(x) = 3x ^ 5 - 9 <br><br> is even, odd, or neither
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!