During the time period t=0 to t=6 seconds, a particle moves along the path given by x(t)=3cos(pi*t) and y(t)=5sin(pi*t)(adsbygoogle = window.adsbygoogle || []).push({});

1. Find the velocity vector for the particle at any time t.

2. Write and evaluate an integral expression, in terms of sine and cosine, that gives distance the particle travels from time t=1.25 to t=1.75.

Not quite sure what a velocity vector is...

For the second, it looks like an arclength so it would be Integral from 1.25 to 1.75 Sqrt((dy/dt)2 + (dx/dt)^2), so just derive the given (3cos(pi*t), etc. and plug in?

**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!

# Find the velocity vector for the particle at any time

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