Posted by **Naseba** on Monday, April 30, 2012 at 5:45am.

A particle moves on the x-axis so that its velocity at any time t is given by v(t) = sin 2t. At t = 0, the particle is at the origin.

a)For 0 ≤ t ≤ π, find all values of t for which the particle is moving to the left.

b)Write an expression for the position of the particle at any time t.

c)For 0 ≤ t ≤ π/2, find the average value of the position function determined in part b.

## Answer this Question

## Related Questions

- calculus - 5. A particle moves along the x-axis in such a way that its position ...
- calculus - 5. A particle moves along the y – axis with velocity given by v(t)=...
- Physics - A particle starts from the origin at t = 0 and moves along the ...
- Calculus - a particle starts at time t = 0 and moves along the x axis so that ...
- Calculus - A particle moves along a horizontal line so that at any time t its ...
- calculus - Suppose that a particle moves along a line so that its velocity v at ...
- calculus - A Particle moves along the x-axis so that at any time t>0, its ...
- Calculous - A particle moves along the c-axis so that at time t its position is ...
- Calculus - A particle starts at the point (5,0) at t=0 and moves along the x-...
- Calculus (Answer Check) - A particle moves along the x-axis so that its velocity...