Posted by **Madeline** on Wednesday, December 19, 2012 at 5:29pm.

Two particles move along the x -axis. For 0 is less than or equal to t is less than or equal to 6, the position of particle P at time t is given by p(t)=2cos((pi/4)t), while the position of particle R at time t is given by r(t)=t^3 -6t^2 +9t+3.

1. For 0 is less than or equal to t is less than or equal to 6, find all times t during which particle R is moving to the left. 2. for 0 is less than or equal to t is less than or equal to 6, find all times t during which the two particles travel in opposite directions. 3. Find the acceleration of particles P at time t=3. Is particle P speeding up, slowing down, or doing neither at time t=3? Explain your reasoning. 4. Show that during the interval (1,3), there must be at least one instant when the particle R must have a velocity of -2.

## Answer this Question

## Related Questions

- Calculus - Two particles move along the x -axis. For 0 is less than or equal to ...
- calculus - a particle moves along the y axis so that its position at any time t...
- Calculus!!!! - A particle moves along the x-axis with position at time t given ...
- Calculus - A particle moves along the x-axis with position at time t given by x(...
- Calculus - A particle moves along the x-axis with position at time t given by x(...
- Calculus - Still Need Help! Anyone! - A particle moves along the x-axis with ...
- Calculus (Answer Check) - A particle moves along the x-axis so that its velocity...
- Calculus (Answer Check) - A particle moves along the x-axis so that its ...
- Calculus (Answer Check) - Are my answers right? If they are wrong you dont have ...
- math - a particle moves with acceleration a(t)=(t-2)m/s^2 along an x axis and ...

More Related Questions