Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
ETOO11
Group Title
A particle moves according to a law of motion s = f(t), 0 ≤ t ≤ 12, where t is measured in seconds and s in feet.
f(t) = cos(πt/6)
(a) Find the velocity at time t (in ft/s).
b.) What is the velocity after 5 s? (Round your answer to two decimal places.)
c.) When is the particle at rest? (there are supposed to be three answers for this part)
d.) When is the particle moving in the positive direction? (Enter your answer using interval notation.)
E.) Find the total distance traveled during the first 12 seconds.
F.) Find the acceleration at time t (in ft/s2).
 one year ago
 one year ago
ETOO11 Group Title
A particle moves according to a law of motion s = f(t), 0 ≤ t ≤ 12, where t is measured in seconds and s in feet. f(t) = cos(πt/6) (a) Find the velocity at time t (in ft/s). b.) What is the velocity after 5 s? (Round your answer to two decimal places.) c.) When is the particle at rest? (there are supposed to be three answers for this part) d.) When is the particle moving in the positive direction? (Enter your answer using interval notation.) E.) Find the total distance traveled during the first 12 seconds. F.) Find the acceleration at time t (in ft/s2).
 one year ago
 one year ago

This Question is Closed

Loser66 Group TitleBest ResponseYou've already chosen the best response.0
a) v= f'(t), so, take derivative of f b) replace value t =5 into the equation of v above to find v at t =5 c) when it is at rest v =0, plug it into the equation of v (part a) to find t. that t is when it is at rest
 one year ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.0
d) solve for f(t) >0 e) replace t =0 and t = 12 into f to find f(0) and f(12) , subtract them , OR take integral of v , limit from 0 to 12 f)accelerate =v' , take derivative of v ,
 one year ago

ETOO11 Group TitleBest ResponseYou've already chosen the best response.0
can anyone elaborate a little more on parts c,d, and e ?
 one year ago
See more questions >>>
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.