The problem:(adsbygoogle = window.adsbygoogle || []).push({});

The acceleration of a particle moving back and forth on a line is a = (d^2)s/d(t^2) = (pi)^2 cos(pi)(t) m/sec^2 for all t. If s = 0 and v = 8 m/sec when t = 0, find s when t = 1 sec.

My work:

(d^2)s/d(t^2) = (pi)^2 cos(pi)(t)

ds/dt = (pi)^2 sin(pi)(1) + C

ds/dt = (pi)^2(0) + C

0 = C

Then..

ds/dt = (pi)^2 sin(pi)(t)

s = -(pi)^2 cos (pi) (8)

0 = -(pi)^2(1) + C

(pi)^2 = C

So my answer turned out to be (pi)^2 meters. I'm not so sure that that's the correct answer though.

Any help is appreciated.

**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: Initial Value Problem

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