Posted by **sammy** on Monday, May 19, 2008 at 11:55pm.

a partial moves along the x-axis so that its velocity at time t, for 0< = t = < 6, is given by a differentiable function v whose graph is shown above. The velocity is 0 at t=0, t=5, and the graph has horizontal tangents at t=4. the areas of the regions bounded by the t-axis and the graph of v on the intervals [0,3], [3,5] and [5,6] are 8,3 and 2, respectively. at time t= -2.

a) for 0 < = t < = 6, find both the time and the position of the particle when the particle is farther to the left.

b) for how many values of t where 0 < = t < = 6 is particle at x= -8?

c) on the interval 2<t<3 is the speed of the particle increasing or decreasing?

d) During what time intervals if any is the acceleration of the particle negative?

## Answer this Question

## Related Questions

- help math - a partial moves along the x-axis so that its velocity at time t, for...
- Calculus - I don't understand what the graph is suppose to show and what the ...
- Physics - A particle starts from the origin at t = 0 and moves along the ...
- Calc I - A particle moves at varying velocity along a line and s= f(t) ...
- Physics(check) - 13)What can you say about the motion of a body if its velocity-...
- Chels - What can you say about the motion of a body if its veloctiy-time graph ...
- physics - A 1.6 kg particle moving along the x-axis experiences the force shown ...
- physics - A common graphical representation of motion along a straight line is ...
- Physics - How do you convert a distance time graph to a velocity time graph. In ...
- calculus - a particle moves along the x-axis in such a way that its acceleration...