Homework Help: Calculus

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.

No one has answered this question yet.

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...
AP Calculus - An object moves along the x-axis with a velocity of v(t) = sin(pi/...
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 - Consider the function f(x)=65x−cos(x)+2 on the interval 0 ...
Calculus - Consider the function f(x)=6x-cos(x)+5 on the interval 0 is less than...
stats - Continuous Random Variable, I Let X be a random number between 0 and 1 ...

For Further Reading

First Name:
School Subject:
Answer: