A particle moves with acceleration a(t) = cos(t)+3(adsbygoogle = window.adsbygoogle || []).push({});

Intital velocity v(0)= 5

initial position s(0) =3

a) fin velocity of particle at time t

v(t) = sin(t)+3t+C

plugging 0 for t I get C = 5

s(t) = -cos(t) + 3/2t^2 + 5t + C

plugging 0 for s I get C = 3

answer: v(t) = sin(t)+3t+5

b) What is the total distance traveled from t = pi to t = 2pi

integral pi to 2pi = v(t) = sin(t)+3t+5

= s(2pi)-s(pi)

Thanks!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Problem (acceleration/velocity/distance)

**Physics Forums | Science Articles, Homework Help, Discussion**