A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
The velocity in ft/sec of a particle is given by v(t) = −16t + 2. Find the position function s(t), of the particle if it has an initial position s(0) = 6 feet.
anonymous
 one year ago
The velocity in ft/sec of a particle is given by v(t) = −16t + 2. Find the position function s(t), of the particle if it has an initial position s(0) = 6 feet.

This Question is Closed

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1integrate v(t) to get s(t) don't forget the +C. You'll solve for C by using s(0) = 6

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1s(0) = 6 means x = 0 and y = 6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is it A? How would you relate v(t) to s(0)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you can always check by deriving back

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1y = 16t^2 + 2t + 6 dy/dt = 32t + 2 which is not the same as v(t)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large s(t) = \int v(t)dt\] \[\Large s(t) = \int (16t + 2)dt\] You should find that s(t) = 8t^2 + 2t + C s(t) = 8t^2 + 2t + C s(0) = 8*0^2 + 2*0 + C s(0) = C 6 = C C = 6 So, s(t) = 8t^2 + 2t + 6. Yep it's definitely D
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.