fhebarbyca8ndrut fhebarbyca8ndrut
  • 19-11-2016
  • Mathematics
contestada

Given the velocity v=ds/dt and the initial position of a body moving along a coordinate line, find the body's position at time t. v=sin(pi*t), s(-3)=0

Respuesta :

nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 21-11-2016
s(t) = ∫vdt = ∫sin(πt)dt = (-cos(πt))/π + c
s(-3) = (-cos(-3π))/π + c = 0
(-cos(3π))/π + c = 0
1/π + c = c
c = -1/π

Therefore, s(t) = (-cos(πt))/π - 1/π = (-cos(πt) - 1)/π



Answer Link

Otras preguntas

Why is it important to know who is telling the story
Which statement BEST explains why the “divine right of kings” theory conflicted with the idea of a social contract?
Which language is one of the most widely spoken languages in East Africa? A. Swahili B. French C. Afrikaans D. Hindi
The number of miles a motorcycle, X, will travel on one gallon of gasoline is modeled by a normal distribution with mean 44 and standard deviation 5. If Mike st
What do you learn in grade 11 chemistry (university prep)?
What is this is not a small voice poem about?
Please help !!!!!’ Worth lots of points
Olga flips 2 fair coins. What is the probability of obtaining a different result on each coin?
What does the servant say has been found after the search party has gone out to investigate the terrible crimes? (Poe - by edgar allan)
There are 46 children attending the Hefner field trip. Each van will hold 8 children. How many van's will be needed to transport each child to and from the fiel