Calc

posted by .

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?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the graph to answer the questions?
  2. Physics(check)

    13)What can you say about the motion of a body if its velocity-time graph is a straight line inclined with the time axis?
  3. Chels

    What can you say about the motion of a body if its veloctiy-time graph is a straight line inclined with the time axis?
  4. help math

    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. …
  5. Calc I

    A particle moves at varying velocity along a line and s= f(t) represents the particle's distance from a point as a function of time, t. sketch a graph for f if the average velocity of the particle between t=2 and t=6 is the same as …
  6. physics

    A 1.6 kg particle moving along the x-axis experiences the force shown in the figure. The particle's velocity is 4.2 m/s at x = 0 m. The figure or graph has F (N) along the y axis and velocity along the x axis. A diagonal line drops …
  7. calculus

    a particle moves along the x-axis in such a way that its acceleration at any time t is given by a(t)= 6t - 18. At time t = 0, the velocity v(t) = 24. and at time t = 1, the position x(t) = 20 i have to find the expression for the velocity …
  8. Physics

    A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 7.0 m/s. (a) What is the coordinate …
  9. Physics

    How do you convert a distance time graph to a velocity time graph. In my first distance time graph, i have 3 curves, two are above the x axis the the middle curve is under the x axis. i am confused on how to change this graph into …
  10. physics

    A common graphical representation of motion along a straight line is the v vs. t graph, that is, the graph of (instantaneous) velocity as a function of time. In this graph, time t is plotted on the horizontal axis and velocity v on …

More Similar Questions